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Finding the Fourth Proportional to 491.38, 732.96 and 439.54

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Solution

The fourth proportional to 491.38, 732.96 and 439.54 is: 655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.38 : 732.96 = 439.54 : x
  2. Step 2: Convert to fraction form
    491.38/732.96 = 439.54/x
  3. Step 3: Cross multiply
    491.38x = 732.96 × 439.54
  4. Step 4: Simplify right side
    491.38x = 322,165.24
  5. Step 5: Solve for x
    x = 322,165.24/491.38
  6. Step 6: Final answer
    x = 655.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.