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Finding the Fourth Proportional to 712.85, 1,069.63 and 400.31

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Solution

The fourth proportional to 712.85, 1,069.63 and 400.31 is: 600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.85 : 1,069.63 = 400.31 : x
  2. Step 2: Convert to fraction form
    712.85/1,069.63 = 400.31/x
  3. Step 3: Cross multiply
    712.85x = 1,069.63 × 400.31
  4. Step 4: Simplify right side
    712.85x = 428,182.66
  5. Step 5: Solve for x
    x = 428,182.66/712.85
  6. Step 6: Final answer
    x = 600.66

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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.