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Finding the Fourth Proportional to 690.09, 951.92 and 493.89

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Solution

The fourth proportional to 690.09, 951.92 and 493.89 is: 681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.09 : 951.92 = 493.89 : x
  2. Step 2: Convert to fraction form
    690.09/951.92 = 493.89/x
  3. Step 3: Cross multiply
    690.09x = 951.92 × 493.89
  4. Step 4: Simplify right side
    690.09x = 470,141.30
  5. Step 5: Solve for x
    x = 470,141.30/690.09
  6. Step 6: Final answer
    x = 681.28

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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.