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Finding the Fourth Proportional to 616.49, 851.08 and 417.46

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Solution

The fourth proportional to 616.49, 851.08 and 417.46 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.49 : 851.08 = 417.46 : x
  2. Step 2: Convert to fraction form
    616.49/851.08 = 417.46/x
  3. Step 3: Cross multiply
    616.49x = 851.08 × 417.46
  4. Step 4: Simplify right side
    616.49x = 355,291.86
  5. Step 5: Solve for x
    x = 355,291.86/616.49
  6. Step 6: Final answer
    x = 576.31

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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.