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Finding the Fourth Proportional to 501.98, 747.28 and 478.40

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Solution

The fourth proportional to 501.98, 747.28 and 478.40 is: 712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 747.28 = 478.40 : x
  2. Step 2: Convert to fraction form
    501.98/747.28 = 478.40/x
  3. Step 3: Cross multiply
    501.98x = 747.28 × 478.40
  4. Step 4: Simplify right side
    501.98x = 357,498.75
  5. Step 5: Solve for x
    x = 357,498.75/501.98
  6. Step 6: Final answer
    x = 712.18

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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.