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Finding the Fourth Proportional to 768.20, 1,150.82 and 594.77

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Solution

The fourth proportional to 768.20, 1,150.82 and 594.77 is: 891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.20 : 1,150.82 = 594.77 : x
  2. Step 2: Convert to fraction form
    768.20/1,150.82 = 594.77/x
  3. Step 3: Cross multiply
    768.20x = 1,150.82 × 594.77
  4. Step 4: Simplify right side
    768.20x = 684,470.24
  5. Step 5: Solve for x
    x = 684,470.24/768.20
  6. Step 6: Final answer
    x = 891.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.