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Finding the Fourth Proportional to 1,024.72, 1,537.58 and 477.29

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Solution

The fourth proportional to 1,024.72, 1,537.58 and 477.29 is: 716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.72 : 1,537.58 = 477.29 : x
  2. Step 2: Convert to fraction form
    1,024.72/1,537.58 = 477.29/x
  3. Step 3: Cross multiply
    1,024.72x = 1,537.58 × 477.29
  4. Step 4: Simplify right side
    1,024.72x = 733,876.60
  5. Step 5: Solve for x
    x = 733,876.60/1,024.72
  6. Step 6: Final answer
    x = 716.17

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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.