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Finding the Fourth Proportional to 456.27, 681.25 and 391.16

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Solution

The fourth proportional to 456.27, 681.25 and 391.16 is: 584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.27 : 681.25 = 391.16 : x
  2. Step 2: Convert to fraction form
    456.27/681.25 = 391.16/x
  3. Step 3: Cross multiply
    456.27x = 681.25 × 391.16
  4. Step 4: Simplify right side
    456.27x = 266,480.31
  5. Step 5: Solve for x
    x = 266,480.31/456.27
  6. Step 6: Final answer
    x = 584.05

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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.