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Finding the Fourth Proportional to 498.49, 747.75 and 383.11

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Solution

The fourth proportional to 498.49, 747.75 and 383.11 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.49 : 747.75 = 383.11 : x
  2. Step 2: Convert to fraction form
    498.49/747.75 = 383.11/x
  3. Step 3: Cross multiply
    498.49x = 747.75 × 383.11
  4. Step 4: Simplify right side
    498.49x = 286,470.50
  5. Step 5: Solve for x
    x = 286,470.50/498.49
  6. Step 6: Final answer
    x = 574.68

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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.