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Finding the Fourth Proportional to 582.14, 871.76 and 426.98

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Solution

The fourth proportional to 582.14, 871.76 and 426.98 is: 639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 871.76 = 426.98 : x
  2. Step 2: Convert to fraction form
    582.14/871.76 = 426.98/x
  3. Step 3: Cross multiply
    582.14x = 871.76 × 426.98
  4. Step 4: Simplify right side
    582.14x = 372,217.59
  5. Step 5: Solve for x
    x = 372,217.59/582.14
  6. Step 6: Final answer
    x = 639.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.