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Finding the Fourth Proportional to 616.64, 851.30 and 417.62

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Solution

The fourth proportional to 616.64, 851.30 and 417.62 is: 576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 851.30 = 417.62 : x
  2. Step 2: Convert to fraction form
    616.64/851.30 = 417.62/x
  3. Step 3: Cross multiply
    616.64x = 851.30 × 417.62
  4. Step 4: Simplify right side
    616.64x = 355,519.91
  5. Step 5: Solve for x
    x = 355,519.91/616.64
  6. Step 6: Final answer
    x = 576.54

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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.