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Finding the Fourth Proportional to 820.12, 1,131.96 and 558.40

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Solution

The fourth proportional to 820.12, 1,131.96 and 558.40 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.12 : 1,131.96 = 558.40 : x
  2. Step 2: Convert to fraction form
    820.12/1,131.96 = 558.40/x
  3. Step 3: Cross multiply
    820.12x = 1,131.96 × 558.40
  4. Step 4: Simplify right side
    820.12x = 632,086.46
  5. Step 5: Solve for x
    x = 632,086.46/820.12
  6. Step 6: Final answer
    x = 770.72

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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.