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Finding the Fourth Proportional to 709.60, 979.27 and 429.78

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Solution

The fourth proportional to 709.60, 979.27 and 429.78 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.60 : 979.27 = 429.78 : x
  2. Step 2: Convert to fraction form
    709.60/979.27 = 429.78/x
  3. Step 3: Cross multiply
    709.60x = 979.27 × 429.78
  4. Step 4: Simplify right side
    709.60x = 420,870.66
  5. Step 5: Solve for x
    x = 420,870.66/709.60
  6. Step 6: Final answer
    x = 593.11

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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.