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Finding the Fourth Proportional to 865.31, 1,193.21 and 706.76

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Solution

The fourth proportional to 865.31, 1,193.21 and 706.76 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.31 : 1,193.21 = 706.76 : x
  2. Step 2: Convert to fraction form
    865.31/1,193.21 = 706.76/x
  3. Step 3: Cross multiply
    865.31x = 1,193.21 × 706.76
  4. Step 4: Simplify right side
    865.31x = 843,307.13
  5. Step 5: Solve for x
    x = 843,307.13/865.31
  6. Step 6: Final answer
    x = 974.57

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Double scale
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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.