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Finding the Fourth Proportional to 501.61, 748.55 and 440.87

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Solution

The fourth proportional to 501.61, 748.55 and 440.87 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.61 : 748.55 = 440.87 : x
  2. Step 2: Convert to fraction form
    501.61/748.55 = 440.87/x
  3. Step 3: Cross multiply
    501.61x = 748.55 × 440.87
  4. Step 4: Simplify right side
    501.61x = 330,008.69
  5. Step 5: Solve for x
    x = 330,008.69/501.61
  6. Step 6: Final answer
    x = 657.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.