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Finding the Fourth Proportional to 544, 812.20 and 462.88

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Solution

The fourth proportional to 544, 812.20 and 462.88 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544 : 812.20 = 462.88 : x
  2. Step 2: Convert to fraction form
    544/812.20 = 462.88/x
  3. Step 3: Cross multiply
    544x = 812.20 × 462.88
  4. Step 4: Simplify right side
    544x = 375,951.14
  5. Step 5: Solve for x
    x = 375,951.14/544
  6. Step 6: Final answer
    x = 691.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.