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Finding the Fourth Proportional to 803.68, 1,204.56 and 514.24

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Solution

The fourth proportional to 803.68, 1,204.56 and 514.24 is: 770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.68 : 1,204.56 = 514.24 : x
  2. Step 2: Convert to fraction form
    803.68/1,204.56 = 514.24/x
  3. Step 3: Cross multiply
    803.68x = 1,204.56 × 514.24
  4. Step 4: Simplify right side
    803.68x = 619,432.93
  5. Step 5: Solve for x
    x = 619,432.93/803.68
  6. Step 6: Final answer
    x = 770.75

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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.