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Finding the Fourth Proportional to 781.72, 1,077.51 and 737.98

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Solution

The fourth proportional to 781.72, 1,077.51 and 737.98 is: 1,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.72 : 1,077.51 = 737.98 : x
  2. Step 2: Convert to fraction form
    781.72/1,077.51 = 737.98/x
  3. Step 3: Cross multiply
    781.72x = 1,077.51 × 737.98
  4. Step 4: Simplify right side
    781.72x = 795,180.83
  5. Step 5: Solve for x
    x = 795,180.83/781.72
  6. Step 6: Final answer
    x = 1,017.22

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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.