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Finding the Fourth Proportional to 456.70, 681.72 and 422.89

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Solution

The fourth proportional to 456.70, 681.72 and 422.89 is: 631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.70 : 681.72 = 422.89 : x
  2. Step 2: Convert to fraction form
    456.70/681.72 = 422.89/x
  3. Step 3: Cross multiply
    456.70x = 681.72 × 422.89
  4. Step 4: Simplify right side
    456.70x = 288,292.57
  5. Step 5: Solve for x
    x = 288,292.57/456.70
  6. Step 6: Final answer
    x = 631.25

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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.