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Finding the Fourth Proportional to 820.98, 1,131.57 and 558.54

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Solution

The fourth proportional to 820.98, 1,131.57 and 558.54 is: 769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.98 : 1,131.57 = 558.54 : x
  2. Step 2: Convert to fraction form
    820.98/1,131.57 = 558.54/x
  3. Step 3: Cross multiply
    820.98x = 1,131.57 × 558.54
  4. Step 4: Simplify right side
    820.98x = 632,027.11
  5. Step 5: Solve for x
    x = 632,027.11/820.98
  6. Step 6: Final answer
    x = 769.84

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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.