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Finding the Fourth Proportional to 1,025.31, 1,537.72 and 477.21

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Solution

The fourth proportional to 1,025.31, 1,537.72 and 477.21 is: 715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.31 : 1,537.72 = 477.21 : x
  2. Step 2: Convert to fraction form
    1,025.31/1,537.72 = 477.21/x
  3. Step 3: Cross multiply
    1,025.31x = 1,537.72 × 477.21
  4. Step 4: Simplify right side
    1,025.31x = 733,814.17
  5. Step 5: Solve for x
    x = 733,814.17/1,025.31
  6. Step 6: Final answer
    x = 715.70

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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.