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Finding the Fourth Proportional to 1,132.29, 1,562.49 and 628.11

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Solution

The fourth proportional to 1,132.29, 1,562.49 and 628.11 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.29 : 1,562.49 = 628.11 : x
  2. Step 2: Convert to fraction form
    1,132.29/1,562.49 = 628.11/x
  3. Step 3: Cross multiply
    1,132.29x = 1,562.49 × 628.11
  4. Step 4: Simplify right side
    1,132.29x = 981,415.59
  5. Step 5: Solve for x
    x = 981,415.59/1,132.29
  6. Step 6: Final answer
    x = 866.76

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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.