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Finding the Fourth Proportional to 781.93, 1,077.70 and 571.78

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Solution

The fourth proportional to 781.93, 1,077.70 and 571.78 is: 788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.93 : 1,077.70 = 571.78 : x
  2. Step 2: Convert to fraction form
    781.93/1,077.70 = 571.78/x
  3. Step 3: Cross multiply
    781.93x = 1,077.70 × 571.78
  4. Step 4: Simplify right side
    781.93x = 616,207.31
  5. Step 5: Solve for x
    x = 616,207.31/781.93
  6. Step 6: Final answer
    x = 788.06

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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.