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Finding the Fourth Proportional to 501.06, 747.98 and 478.60

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Solution

The fourth proportional to 501.06, 747.98 and 478.60 is: 714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.06 : 747.98 = 478.60 : x
  2. Step 2: Convert to fraction form
    501.06/747.98 = 478.60/x
  3. Step 3: Cross multiply
    501.06x = 747.98 × 478.60
  4. Step 4: Simplify right side
    501.06x = 357,978.97
  5. Step 5: Solve for x
    x = 357,978.97/501.06
  6. Step 6: Final answer
    x = 714.44

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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.