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Finding the Fourth Proportional to 781.06, 1,077.87 and 426.98

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Solution

The fourth proportional to 781.06, 1,077.87 and 426.98 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.06 : 1,077.87 = 426.98 : x
  2. Step 2: Convert to fraction form
    781.06/1,077.87 = 426.98/x
  3. Step 3: Cross multiply
    781.06x = 1,077.87 × 426.98
  4. Step 4: Simplify right side
    781.06x = 460,228.93
  5. Step 5: Solve for x
    x = 460,228.93/781.06
  6. Step 6: Final answer
    x = 589.24

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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.