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Finding the Fourth Proportional to 674.75, 1,010.66 and 365.95

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Solution

The fourth proportional to 674.75, 1,010.66 and 365.95 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.75 : 1,010.66 = 365.95 : x
  2. Step 2: Convert to fraction form
    674.75/1,010.66 = 365.95/x
  3. Step 3: Cross multiply
    674.75x = 1,010.66 × 365.95
  4. Step 4: Simplify right side
    674.75x = 369,849.20
  5. Step 5: Solve for x
    x = 369,849.20/674.75
  6. Step 6: Final answer
    x = 548.13

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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.