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Finding the Fourth Proportional to 691.02, 951.09 and 494.22

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Solution

The fourth proportional to 691.02, 951.09 and 494.22 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.02 : 951.09 = 494.22 : x
  2. Step 2: Convert to fraction form
    691.02/951.09 = 494.22/x
  3. Step 3: Cross multiply
    691.02x = 951.09 × 494.22
  4. Step 4: Simplify right side
    691.02x = 470,047.70
  5. Step 5: Solve for x
    x = 470,047.70/691.02
  6. Step 6: Final answer
    x = 680.22

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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.