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Finding the Fourth Proportional to 803.40, 1,204.56 and 515.04

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Solution

The fourth proportional to 803.40, 1,204.56 and 515.04 is: 772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.40 : 1,204.56 = 515.04 : x
  2. Step 2: Convert to fraction form
    803.40/1,204.56 = 515.04/x
  3. Step 3: Cross multiply
    803.40x = 1,204.56 × 515.04
  4. Step 4: Simplify right side
    803.40x = 620,396.58
  5. Step 5: Solve for x
    x = 620,396.58/803.40
  6. Step 6: Final answer
    x = 772.21

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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.