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Finding the Fourth Proportional to 498.79, 747.16 and 292.73

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Solution

The fourth proportional to 498.79, 747.16 and 292.73 is: 438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.79 : 747.16 = 292.73 : x
  2. Step 2: Convert to fraction form
    498.79/747.16 = 292.73/x
  3. Step 3: Cross multiply
    498.79x = 747.16 × 292.73
  4. Step 4: Simplify right side
    498.79x = 218,717.28
  5. Step 5: Solve for x
    x = 218,717.28/498.79
  6. Step 6: Final answer
    x = 438.50

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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.