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Finding the Fourth Proportional to 691.98, 952.86 and 495.15

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Solution

The fourth proportional to 691.98, 952.86 and 495.15 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.98 : 952.86 = 495.15 : x
  2. Step 2: Convert to fraction form
    691.98/952.86 = 495.15/x
  3. Step 3: Cross multiply
    691.98x = 952.86 × 495.15
  4. Step 4: Simplify right side
    691.98x = 471,808.63
  5. Step 5: Solve for x
    x = 471,808.63/691.98
  6. Step 6: Final answer
    x = 681.82

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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.