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Finding the Fourth Proportional to 822.76, 1,234.85 and 433.22

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Solution

The fourth proportional to 822.76, 1,234.85 and 433.22 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,234.85 = 433.22 : x
  2. Step 2: Convert to fraction form
    822.76/1,234.85 = 433.22/x
  3. Step 3: Cross multiply
    822.76x = 1,234.85 × 433.22
  4. Step 4: Simplify right side
    822.76x = 534,953.38
  5. Step 5: Solve for x
    x = 534,953.38/822.76
  6. Step 6: Final answer
    x = 650.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.