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Finding the Fourth Proportional to 862.94, 1,294.97 and 315.08

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Solution

The fourth proportional to 862.94, 1,294.97 and 315.08 is: 472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,294.97 = 315.08 : x
  2. Step 2: Convert to fraction form
    862.94/1,294.97 = 315.08/x
  3. Step 3: Cross multiply
    862.94x = 1,294.97 × 315.08
  4. Step 4: Simplify right side
    862.94x = 408,011.10
  5. Step 5: Solve for x
    x = 408,011.10/862.94
  6. Step 6: Final answer
    x = 472.82

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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.