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Finding the Fourth Proportional to 971.26, 1,340.74 and 691.54

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Solution

The fourth proportional to 971.26, 1,340.74 and 691.54 is: 954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.26 : 1,340.74 = 691.54 : x
  2. Step 2: Convert to fraction form
    971.26/1,340.74 = 691.54/x
  3. Step 3: Cross multiply
    971.26x = 1,340.74 × 691.54
  4. Step 4: Simplify right side
    971.26x = 927,175.34
  5. Step 5: Solve for x
    x = 927,175.34/971.26
  6. Step 6: Final answer
    x = 954.61

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1.5x scale

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.