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Finding the Fourth Proportional to 694.78, 959.19 and 462.22

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Solution

The fourth proportional to 694.78, 959.19 and 462.22 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 959.19 = 462.22 : x
  2. Step 2: Convert to fraction form
    694.78/959.19 = 462.22/x
  3. Step 3: Cross multiply
    694.78x = 959.19 × 462.22
  4. Step 4: Simplify right side
    694.78x = 443,356.80
  5. Step 5: Solve for x
    x = 443,356.80/694.78
  6. Step 6: Final answer
    x = 638.13

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Half scale
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Double scale
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Similar ratio
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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.