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Finding the Fourth Proportional to 610.01, 914.31 and 284.69

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Solution

The fourth proportional to 610.01, 914.31 and 284.69 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.01 : 914.31 = 284.69 : x
  2. Step 2: Convert to fraction form
    610.01/914.31 = 284.69/x
  3. Step 3: Cross multiply
    610.01x = 914.31 × 284.69
  4. Step 4: Simplify right side
    610.01x = 260,294.91
  5. Step 5: Solve for x
    x = 260,294.91/610.01
  6. Step 6: Final answer
    x = 426.71

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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.