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Finding the Fourth Proportional to 602.76, 908.10 and 547.22

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Solution

The fourth proportional to 602.76, 908.10 and 547.22 is: 824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 908.10 = 547.22 : x
  2. Step 2: Convert to fraction form
    602.76/908.10 = 547.22/x
  3. Step 3: Cross multiply
    602.76x = 908.10 × 547.22
  4. Step 4: Simplify right side
    602.76x = 496,930.48
  5. Step 5: Solve for x
    x = 496,930.48/602.76
  6. Step 6: Final answer
    x = 824.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.