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Finding the Fourth Proportional to 709.77, 979.21 and 429.82

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Solution

The fourth proportional to 709.77, 979.21 and 429.82 is: 592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 979.21 = 429.82 : x
  2. Step 2: Convert to fraction form
    709.77/979.21 = 429.82/x
  3. Step 3: Cross multiply
    709.77x = 979.21 × 429.82
  4. Step 4: Simplify right side
    709.77x = 420,880.52
  5. Step 5: Solve for x
    x = 420,880.52/709.77
  6. Step 6: Final answer
    x = 592.98

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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.