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Finding the Fourth Proportional to 602.31, 826.19 and 597.11

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Solution

The fourth proportional to 602.31, 826.19 and 597.11 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.31 : 826.19 = 597.11 : x
  2. Step 2: Convert to fraction form
    602.31/826.19 = 597.11/x
  3. Step 3: Cross multiply
    602.31x = 826.19 × 597.11
  4. Step 4: Simplify right side
    602.31x = 493,329.87
  5. Step 5: Solve for x
    x = 493,329.87/602.31
  6. Step 6: Final answer
    x = 819.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.