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Finding the Fourth Proportional to 501.57, 748.55 and 488.61

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Solution

The fourth proportional to 501.57, 748.55 and 488.61 is: 729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 748.55 = 488.61 : x
  2. Step 2: Convert to fraction form
    501.57/748.55 = 488.61/x
  3. Step 3: Cross multiply
    501.57x = 748.55 × 488.61
  4. Step 4: Simplify right side
    501.57x = 365,750.24
  5. Step 5: Solve for x
    x = 365,750.24/501.57
  6. Step 6: Final answer
    x = 729.21

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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.