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Finding the Fourth Proportional to 491.33, 732.85 and 457.31

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Solution

The fourth proportional to 491.33, 732.85 and 457.31 is: 682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.33 : 732.85 = 457.31 : x
  2. Step 2: Convert to fraction form
    491.33/732.85 = 457.31/x
  3. Step 3: Cross multiply
    491.33x = 732.85 × 457.31
  4. Step 4: Simplify right side
    491.33x = 335,134.83
  5. Step 5: Solve for x
    x = 335,134.83/491.33
  6. Step 6: Final answer
    x = 682.10

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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.