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Finding the Fourth Proportional to 781.20, 1,076.76 and 594.48

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Solution

The fourth proportional to 781.20, 1,076.76 and 594.48 is: 819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.20 : 1,076.76 = 594.48 : x
  2. Step 2: Convert to fraction form
    781.20/1,076.76 = 594.48/x
  3. Step 3: Cross multiply
    781.20x = 1,076.76 × 594.48
  4. Step 4: Simplify right side
    781.20x = 640,112.28
  5. Step 5: Solve for x
    x = 640,112.28/781.20
  6. Step 6: Final answer
    x = 819.40

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1.5x scale

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.