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Finding the Fourth Proportional to 498.90, 748.35 and 384.09

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Solution

The fourth proportional to 498.90, 748.35 and 384.09 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 748.35 = 384.09 : x
  2. Step 2: Convert to fraction form
    498.90/748.35 = 384.09/x
  3. Step 3: Cross multiply
    498.90x = 748.35 × 384.09
  4. Step 4: Simplify right side
    498.90x = 287,433.75
  5. Step 5: Solve for x
    x = 287,433.75/498.90
  6. Step 6: Final answer
    x = 576.14

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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.