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Finding the Fourth Proportional to 862.57, 1,294.40 and 314.70

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Solution

The fourth proportional to 862.57, 1,294.40 and 314.70 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.57 : 1,294.40 = 314.70 : x
  2. Step 2: Convert to fraction form
    862.57/1,294.40 = 314.70/x
  3. Step 3: Cross multiply
    862.57x = 1,294.40 × 314.70
  4. Step 4: Simplify right side
    862.57x = 407,347.68
  5. Step 5: Solve for x
    x = 407,347.68/862.57
  6. Step 6: Final answer
    x = 472.25

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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.