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Finding the Fourth Proportional to 691.65, 954.08 and 442.88

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Solution

The fourth proportional to 691.65, 954.08 and 442.88 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 954.08 = 442.88 : x
  2. Step 2: Convert to fraction form
    691.65/954.08 = 442.88/x
  3. Step 3: Cross multiply
    691.65x = 954.08 × 442.88
  4. Step 4: Simplify right side
    691.65x = 422,535.97
  5. Step 5: Solve for x
    x = 422,535.97/691.65
  6. Step 6: Final answer
    x = 610.91

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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.