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Finding the Fourth Proportional to 691.43, 953.78 and 442.49

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Solution

The fourth proportional to 691.43, 953.78 and 442.49 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.43 : 953.78 = 442.49 : x
  2. Step 2: Convert to fraction form
    691.43/953.78 = 442.49/x
  3. Step 3: Cross multiply
    691.43x = 953.78 × 442.49
  4. Step 4: Simplify right side
    691.43x = 422,031.13
  5. Step 5: Solve for x
    x = 422,031.13/691.43
  6. Step 6: Final answer
    x = 610.38

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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.