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Finding the Fourth Proportional to 501.41, 748.49 and 478.94

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Solution

The fourth proportional to 501.41, 748.49 and 478.94 is: 714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.41 : 748.49 = 478.94 : x
  2. Step 2: Convert to fraction form
    501.41/748.49 = 478.94/x
  3. Step 3: Cross multiply
    501.41x = 748.49 × 478.94
  4. Step 4: Simplify right side
    501.41x = 358,481.80
  5. Step 5: Solve for x
    x = 358,481.80/501.41
  6. Step 6: Final answer
    x = 714.95

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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.