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Finding the Fourth Proportional to 602.27, 830.17 and 491.55

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Solution

The fourth proportional to 602.27, 830.17 and 491.55 is: 677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.27 : 830.17 = 491.55 : x
  2. Step 2: Convert to fraction form
    602.27/830.17 = 491.55/x
  3. Step 3: Cross multiply
    602.27x = 830.17 × 491.55
  4. Step 4: Simplify right side
    602.27x = 408,072.87
  5. Step 5: Solve for x
    x = 408,072.87/602.27
  6. Step 6: Final answer
    x = 677.56

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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.