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Finding the Fourth Proportional to 602.82, 826.46 and 591.89

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Solution

The fourth proportional to 602.82, 826.46 and 591.89 is: 811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 826.46 = 591.89 : x
  2. Step 2: Convert to fraction form
    602.82/826.46 = 591.89/x
  3. Step 3: Cross multiply
    602.82x = 826.46 × 591.89
  4. Step 4: Simplify right side
    602.82x = 489,168.54
  5. Step 5: Solve for x
    x = 489,168.54/602.82
  6. Step 6: Final answer
    x = 811.47

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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.