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Finding the Fourth Proportional to 616.98, 851.76 and 407.30

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Solution

The fourth proportional to 616.98, 851.76 and 407.30 is: 562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.98 : 851.76 = 407.30 : x
  2. Step 2: Convert to fraction form
    616.98/851.76 = 407.30/x
  3. Step 3: Cross multiply
    616.98x = 851.76 × 407.30
  4. Step 4: Simplify right side
    616.98x = 346,921.85
  5. Step 5: Solve for x
    x = 346,921.85/616.98
  6. Step 6: Final answer
    x = 562.29

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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.