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Finding the Fourth Proportional to 674.83, 1,013.01 and 401.15

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Solution

The fourth proportional to 674.83, 1,013.01 and 401.15 is: 602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.83 : 1,013.01 = 401.15 : x
  2. Step 2: Convert to fraction form
    674.83/1,013.01 = 401.15/x
  3. Step 3: Cross multiply
    674.83x = 1,013.01 × 401.15
  4. Step 4: Simplify right side
    674.83x = 406,369.99
  5. Step 5: Solve for x
    x = 406,369.99/674.83
  6. Step 6: Final answer
    x = 602.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.