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Finding the Fourth Proportional to 709.35, 978.92 and 429.53

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Solution

The fourth proportional to 709.35, 978.92 and 429.53 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.35 : 978.92 = 429.53 : x
  2. Step 2: Convert to fraction form
    709.35/978.92 = 429.53/x
  3. Step 3: Cross multiply
    709.35x = 978.92 × 429.53
  4. Step 4: Simplify right side
    709.35x = 420,479.03
  5. Step 5: Solve for x
    x = 420,479.03/709.35
  6. Step 6: Final answer
    x = 592.77

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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.