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Finding the Fourth Proportional to 614.25, 847.31 and 417.69

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Solution

The fourth proportional to 614.25, 847.31 and 417.69 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 847.31 = 417.69 : x
  2. Step 2: Convert to fraction form
    614.25/847.31 = 417.69/x
  3. Step 3: Cross multiply
    614.25x = 847.31 × 417.69
  4. Step 4: Simplify right side
    614.25x = 353,910.83
  5. Step 5: Solve for x
    x = 353,910.83/614.25
  6. Step 6: Final answer
    x = 576.17

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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.