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Finding the Fourth Proportional to 839.12, 1,158.02 and 559.88

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Solution

The fourth proportional to 839.12, 1,158.02 and 559.88 is: 772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.12 : 1,158.02 = 559.88 : x
  2. Step 2: Convert to fraction form
    839.12/1,158.02 = 559.88/x
  3. Step 3: Cross multiply
    839.12x = 1,158.02 × 559.88
  4. Step 4: Simplify right side
    839.12x = 648,352.24
  5. Step 5: Solve for x
    x = 648,352.24/839.12
  6. Step 6: Final answer
    x = 772.66

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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.