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Finding the Fourth Proportional to 803.12, 1,204.88 and 695.79

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Solution

The fourth proportional to 803.12, 1,204.88 and 695.79 is: 1,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,204.88 = 695.79 : x
  2. Step 2: Convert to fraction form
    803.12/1,204.88 = 695.79/x
  3. Step 3: Cross multiply
    803.12x = 1,204.88 × 695.79
  4. Step 4: Simplify right side
    803.12x = 838,339.98
  5. Step 5: Solve for x
    x = 838,339.98/803.12
  6. Step 6: Final answer
    x = 1,043.86

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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.