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Finding the Fourth Proportional to 971.21, 1,340.57 and 749.78

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Solution

The fourth proportional to 971.21, 1,340.57 and 749.78 is: 1,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.21 : 1,340.57 = 749.78 : x
  2. Step 2: Convert to fraction form
    971.21/1,340.57 = 749.78/x
  3. Step 3: Cross multiply
    971.21x = 1,340.57 × 749.78
  4. Step 4: Simplify right side
    971.21x = 1,005,122.12
  5. Step 5: Solve for x
    x = 1,005,122.12/971.21
  6. Step 6: Final answer
    x = 1,034.92

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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.