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Finding the Fourth Proportional to 498.84, 748.53 and 480.66

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Solution

The fourth proportional to 498.84, 748.53 and 480.66 is: 721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 748.53 = 480.66 : x
  2. Step 2: Convert to fraction form
    498.84/748.53 = 480.66/x
  3. Step 3: Cross multiply
    498.84x = 748.53 × 480.66
  4. Step 4: Simplify right side
    498.84x = 359,788.43
  5. Step 5: Solve for x
    x = 359,788.43/498.84
  6. Step 6: Final answer
    x = 721.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.