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Finding the Fourth Proportional to 971.59, 1,342.70 and 863.59

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Solution

The fourth proportional to 971.59, 1,342.70 and 863.59 is: 1,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.59 : 1,342.70 = 863.59 : x
  2. Step 2: Convert to fraction form
    971.59/1,342.70 = 863.59/x
  3. Step 3: Cross multiply
    971.59x = 1,342.70 × 863.59
  4. Step 4: Simplify right side
    971.59x = 1,159,542.29
  5. Step 5: Solve for x
    x = 1,159,542.29/971.59
  6. Step 6: Final answer
    x = 1,193.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.