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Finding the Fourth Proportional to 602.03, 826.81 and 503.62

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Solution

The fourth proportional to 602.03, 826.81 and 503.62 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.03 : 826.81 = 503.62 : x
  2. Step 2: Convert to fraction form
    602.03/826.81 = 503.62/x
  3. Step 3: Cross multiply
    602.03x = 826.81 × 503.62
  4. Step 4: Simplify right side
    602.03x = 416,394.73
  5. Step 5: Solve for x
    x = 416,394.73/602.03
  6. Step 6: Final answer
    x = 691.65

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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.