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Finding the Fourth Proportional to 498.42, 747.70 and 282.02

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Solution

The fourth proportional to 498.42, 747.70 and 282.02 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 747.70 = 282.02 : x
  2. Step 2: Convert to fraction form
    498.42/747.70 = 282.02/x
  3. Step 3: Cross multiply
    498.42x = 747.70 × 282.02
  4. Step 4: Simplify right side
    498.42x = 210,861.91
  5. Step 5: Solve for x
    x = 210,861.91/498.42
  6. Step 6: Final answer
    x = 423.06

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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.