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Finding the Fourth Proportional to 498.78, 747.35 and 306

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Solution

The fourth proportional to 498.78, 747.35 and 306 is: 458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 747.35 = 306 : x
  2. Step 2: Convert to fraction form
    498.78/747.35 = 306/x
  3. Step 3: Cross multiply
    498.78x = 747.35 × 306
  4. Step 4: Simplify right side
    498.78x = 228,687.57
  5. Step 5: Solve for x
    x = 228,687.57/498.78
  6. Step 6: Final answer
    x = 458.49

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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.