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Finding the Fourth Proportional to 781.24, 1,077.78 and 501.41

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Solution

The fourth proportional to 781.24, 1,077.78 and 501.41 is: 691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.24 : 1,077.78 = 501.41 : x
  2. Step 2: Convert to fraction form
    781.24/1,077.78 = 501.41/x
  3. Step 3: Cross multiply
    781.24x = 1,077.78 × 501.41
  4. Step 4: Simplify right side
    781.24x = 540,409.67
  5. Step 5: Solve for x
    x = 540,409.67/781.24
  6. Step 6: Final answer
    x = 691.74

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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.