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Finding the Fourth Proportional to 614.65, 847.38 and 417.82

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Solution

The fourth proportional to 614.65, 847.38 and 417.82 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.65 : 847.38 = 417.82 : x
  2. Step 2: Convert to fraction form
    614.65/847.38 = 417.82/x
  3. Step 3: Cross multiply
    614.65x = 847.38 × 417.82
  4. Step 4: Simplify right side
    614.65x = 354,052.31
  5. Step 5: Solve for x
    x = 354,052.31/614.65
  6. Step 6: Final answer
    x = 576.02

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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.