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Finding the Fourth Proportional to 839.20, 1,157.86 and 528.52

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Solution

The fourth proportional to 839.20, 1,157.86 and 528.52 is: 729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.20 : 1,157.86 = 528.52 : x
  2. Step 2: Convert to fraction form
    839.20/1,157.86 = 528.52/x
  3. Step 3: Cross multiply
    839.20x = 1,157.86 × 528.52
  4. Step 4: Simplify right side
    839.20x = 611,952.17
  5. Step 5: Solve for x
    x = 611,952.17/839.20
  6. Step 6: Final answer
    x = 729.21

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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.