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Finding the Fourth Proportional to 1,120.95, 1,546.74 and 701.10

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Solution

The fourth proportional to 1,120.95, 1,546.74 and 701.10 is: 967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.95 : 1,546.74 = 701.10 : x
  2. Step 2: Convert to fraction form
    1,120.95/1,546.74 = 701.10/x
  3. Step 3: Cross multiply
    1,120.95x = 1,546.74 × 701.10
  4. Step 4: Simplify right side
    1,120.95x = 1,084,419.41
  5. Step 5: Solve for x
    x = 1,084,419.41/1,120.95
  6. Step 6: Final answer
    x = 967.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.