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Finding the Fourth Proportional to 690.72, 952.97 and 424.89

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Solution

The fourth proportional to 690.72, 952.97 and 424.89 is: 586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 952.97 = 424.89 : x
  2. Step 2: Convert to fraction form
    690.72/952.97 = 424.89/x
  3. Step 3: Cross multiply
    690.72x = 952.97 × 424.89
  4. Step 4: Simplify right side
    690.72x = 404,902.62
  5. Step 5: Solve for x
    x = 404,902.62/690.72
  6. Step 6: Final answer
    x = 586.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.