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Finding the Fourth Proportional to 818.85, 1,129.20 and 596.22

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Solution

The fourth proportional to 818.85, 1,129.20 and 596.22 is: 822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.85 : 1,129.20 = 596.22 : x
  2. Step 2: Convert to fraction form
    818.85/1,129.20 = 596.22/x
  3. Step 3: Cross multiply
    818.85x = 1,129.20 × 596.22
  4. Step 4: Simplify right side
    818.85x = 673,251.62
  5. Step 5: Solve for x
    x = 673,251.62/818.85
  6. Step 6: Final answer
    x = 822.19

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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.