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Finding the Fourth Proportional to 862.95, 1,294.57 and 315.49

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Solution

The fourth proportional to 862.95, 1,294.57 and 315.49 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.95 : 1,294.57 = 315.49 : x
  2. Step 2: Convert to fraction form
    862.95/1,294.57 = 315.49/x
  3. Step 3: Cross multiply
    862.95x = 1,294.57 × 315.49
  4. Step 4: Simplify right side
    862.95x = 408,424.68
  5. Step 5: Solve for x
    x = 408,424.68/862.95
  6. Step 6: Final answer
    x = 473.29

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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.