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Finding the Fourth Proportional to 1,146.02, 1,719.03 and 280.34

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Solution

The fourth proportional to 1,146.02, 1,719.03 and 280.34 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.02 : 1,719.03 = 280.34 : x
  2. Step 2: Convert to fraction form
    1,146.02/1,719.03 = 280.34/x
  3. Step 3: Cross multiply
    1,146.02x = 1,719.03 × 280.34
  4. Step 4: Simplify right side
    1,146.02x = 481,904.28
  5. Step 5: Solve for x
    x = 481,904.28/1,146.02
  6. Step 6: Final answer
    x = 420.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,147.02, 1,720.53 and 281.34
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.