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Finding the Fourth Proportional to 781.49, 1,077.98 and 501.63

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Solution

The fourth proportional to 781.49, 1,077.98 and 501.63 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.49 : 1,077.98 = 501.63 : x
  2. Step 2: Convert to fraction form
    781.49/1,077.98 = 501.63/x
  3. Step 3: Cross multiply
    781.49x = 1,077.98 × 501.63
  4. Step 4: Simplify right side
    781.49x = 540,747.11
  5. Step 5: Solve for x
    x = 540,747.11/781.49
  6. Step 6: Final answer
    x = 691.94

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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.