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Finding the Fourth Proportional to 781.26, 1,076.62 and 705.76

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Solution

The fourth proportional to 781.26, 1,076.62 and 705.76 is: 972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.26 : 1,076.62 = 705.76 : x
  2. Step 2: Convert to fraction form
    781.26/1,076.62 = 705.76/x
  3. Step 3: Cross multiply
    781.26x = 1,076.62 × 705.76
  4. Step 4: Simplify right side
    781.26x = 759,835.33
  5. Step 5: Solve for x
    x = 759,835.33/781.26
  6. Step 6: Final answer
    x = 972.58

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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.