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Finding the Fourth Proportional to 861.95, 1,292.18 and 342.31

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Solution

The fourth proportional to 861.95, 1,292.18 and 342.31 is: 513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.95 : 1,292.18 = 342.31 : x
  2. Step 2: Convert to fraction form
    861.95/1,292.18 = 342.31/x
  3. Step 3: Cross multiply
    861.95x = 1,292.18 × 342.31
  4. Step 4: Simplify right side
    861.95x = 442,326.14
  5. Step 5: Solve for x
    x = 442,326.14/861.95
  6. Step 6: Final answer
    x = 513.17

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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.