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Finding the Fourth Proportional to 694.32, 956.85 and 497.49

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Solution

The fourth proportional to 694.32, 956.85 and 497.49 is: 685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.32 : 956.85 = 497.49 : x
  2. Step 2: Convert to fraction form
    694.32/956.85 = 497.49/x
  3. Step 3: Cross multiply
    694.32x = 956.85 × 497.49
  4. Step 4: Simplify right side
    694.32x = 476,023.31
  5. Step 5: Solve for x
    x = 476,023.31/694.32
  6. Step 6: Final answer
    x = 685.60

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Double scale
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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.