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Finding the Fourth Proportional to 822.32, 1,231.76 and 514.32

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Solution

The fourth proportional to 822.32, 1,231.76 and 514.32 is: 770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,231.76 = 514.32 : x
  2. Step 2: Convert to fraction form
    822.32/1,231.76 = 514.32/x
  3. Step 3: Cross multiply
    822.32x = 1,231.76 × 514.32
  4. Step 4: Simplify right side
    822.32x = 633,518.80
  5. Step 5: Solve for x
    x = 633,518.80/822.32
  6. Step 6: Final answer
    x = 770.40

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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.