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Finding the Fourth Proportional to 762.57, 1,144.17 and 415.47

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Solution

The fourth proportional to 762.57, 1,144.17 and 415.47 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.57 : 1,144.17 = 415.47 : x
  2. Step 2: Convert to fraction form
    762.57/1,144.17 = 415.47/x
  3. Step 3: Cross multiply
    762.57x = 1,144.17 × 415.47
  4. Step 4: Simplify right side
    762.57x = 475,368.31
  5. Step 5: Solve for x
    x = 475,368.31/762.57
  6. Step 6: Final answer
    x = 623.38

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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.