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Finding the Fourth Proportional to 456.52, 681.44 and 428.08

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Solution

The fourth proportional to 456.52, 681.44 and 428.08 is: 638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 681.44 = 428.08 : x
  2. Step 2: Convert to fraction form
    456.52/681.44 = 428.08/x
  3. Step 3: Cross multiply
    456.52x = 681.44 × 428.08
  4. Step 4: Simplify right side
    456.52x = 291,710.84
  5. Step 5: Solve for x
    x = 291,710.84/456.52
  6. Step 6: Final answer
    x = 638.99

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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.