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Finding the Fourth Proportional to 569.62, 854.84 and 425.71

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Solution

The fourth proportional to 569.62, 854.84 and 425.71 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.62 : 854.84 = 425.71 : x
  2. Step 2: Convert to fraction form
    569.62/854.84 = 425.71/x
  3. Step 3: Cross multiply
    569.62x = 854.84 × 425.71
  4. Step 4: Simplify right side
    569.62x = 363,913.94
  5. Step 5: Solve for x
    x = 363,913.94/569.62
  6. Step 6: Final answer
    x = 638.87

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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.