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Finding the Fourth Proportional to 868.73, 1,304.00 and 457.75

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Solution

The fourth proportional to 868.73, 1,304.00 and 457.75 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.73 : 1,304.00 = 457.75 : x
  2. Step 2: Convert to fraction form
    868.73/1,304.00 = 457.75/x
  3. Step 3: Cross multiply
    868.73x = 1,304.00 × 457.75
  4. Step 4: Simplify right side
    868.73x = 596,907.06
  5. Step 5: Solve for x
    x = 596,907.06/868.73
  6. Step 6: Final answer
    x = 687.11

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.