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Finding the Fourth Proportional to 1,409.63, 2,114.45 and 383.63

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Solution

The fourth proportional to 1,409.63, 2,114.45 and 383.63 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.63 : 2,114.45 = 383.63 : x
  2. Step 2: Convert to fraction form
    1,409.63/2,114.45 = 383.63/x
  3. Step 3: Cross multiply
    1,409.63x = 2,114.45 × 383.63
  4. Step 4: Simplify right side
    1,409.63x = 811,153.96
  5. Step 5: Solve for x
    x = 811,153.96/1,409.63
  6. Step 6: Final answer
    x = 575.44

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Double scale
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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.