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Finding the Fourth Proportional to 616.68, 851.31 and 354.65

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Solution

The fourth proportional to 616.68, 851.31 and 354.65 is: 489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.68 : 851.31 = 354.65 : x
  2. Step 2: Convert to fraction form
    616.68/851.31 = 354.65/x
  3. Step 3: Cross multiply
    616.68x = 851.31 × 354.65
  4. Step 4: Simplify right side
    616.68x = 301,912.83
  5. Step 5: Solve for x
    x = 301,912.83/616.68
  6. Step 6: Final answer
    x = 489.58

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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.