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Finding the Fourth Proportional to 1,132.38, 1,562.64 and 628.20

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Solution

The fourth proportional to 1,132.38, 1,562.64 and 628.20 is: 866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.38 : 1,562.64 = 628.20 : x
  2. Step 2: Convert to fraction form
    1,132.38/1,562.64 = 628.20/x
  3. Step 3: Cross multiply
    1,132.38x = 1,562.64 × 628.20
  4. Step 4: Simplify right side
    1,132.38x = 981,650.45
  5. Step 5: Solve for x
    x = 981,650.45/1,132.38
  6. Step 6: Final answer
    x = 866.89

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Half 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.