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Finding the Fourth Proportional to 690.80, 951.35 and 493.97

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Solution

The fourth proportional to 690.80, 951.35 and 493.97 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.80 : 951.35 = 493.97 : x
  2. Step 2: Convert to fraction form
    690.80/951.35 = 493.97/x
  3. Step 3: Cross multiply
    690.80x = 951.35 × 493.97
  4. Step 4: Simplify right side
    690.80x = 469,931.13
  5. Step 5: Solve for x
    x = 469,931.13/690.80
  6. Step 6: Final answer
    x = 680.28

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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.