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Finding the Fourth Proportional to 781.19, 1,077.54 and 519.21

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Solution

The fourth proportional to 781.19, 1,077.54 and 519.21 is: 716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.19 : 1,077.54 = 519.21 : x
  2. Step 2: Convert to fraction form
    781.19/1,077.54 = 519.21/x
  3. Step 3: Cross multiply
    781.19x = 1,077.54 × 519.21
  4. Step 4: Simplify right side
    781.19x = 559,467.60
  5. Step 5: Solve for x
    x = 559,467.60/781.19
  6. Step 6: Final answer
    x = 716.17

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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.