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Finding the Fourth Proportional to 862.79, 1,294.73 and 400.78

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Solution

The fourth proportional to 862.79, 1,294.73 and 400.78 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.79 : 1,294.73 = 400.78 : x
  2. Step 2: Convert to fraction form
    862.79/1,294.73 = 400.78/x
  3. Step 3: Cross multiply
    862.79x = 1,294.73 × 400.78
  4. Step 4: Simplify right side
    862.79x = 518,905.26
  5. Step 5: Solve for x
    x = 518,905.26/862.79
  6. Step 6: Final answer
    x = 601.43

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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.