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Finding the Fourth Proportional to 694.65, 958.80 and 429.32

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Solution

The fourth proportional to 694.65, 958.80 and 429.32 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.65 : 958.80 = 429.32 : x
  2. Step 2: Convert to fraction form
    694.65/958.80 = 429.32/x
  3. Step 3: Cross multiply
    694.65x = 958.80 × 429.32
  4. Step 4: Simplify right side
    694.65x = 411,633.61
  5. Step 5: Solve for x
    x = 411,633.61/694.65
  6. Step 6: Final answer
    x = 592.57

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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.