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Finding the Fourth Proportional to 491.92, 733.14 and 491.15

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Solution

The fourth proportional to 491.92, 733.14 and 491.15 is: 732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.92 : 733.14 = 491.15 : x
  2. Step 2: Convert to fraction form
    491.92/733.14 = 491.15/x
  3. Step 3: Cross multiply
    491.92x = 733.14 × 491.15
  4. Step 4: Simplify right side
    491.92x = 360,083.54
  5. Step 5: Solve for x
    x = 360,083.54/491.92
  6. Step 6: Final answer
    x = 732.00

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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.