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Finding the Fourth Proportional to 803.02, 1,203.78 and 282.70

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Solution

The fourth proportional to 803.02, 1,203.78 and 282.70 is: 423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.02 : 1,203.78 = 282.70 : x
  2. Step 2: Convert to fraction form
    803.02/1,203.78 = 282.70/x
  3. Step 3: Cross multiply
    803.02x = 1,203.78 × 282.70
  4. Step 4: Simplify right side
    803.02x = 340,308.61
  5. Step 5: Solve for x
    x = 340,308.61/803.02
  6. Step 6: Final answer
    x = 423.79

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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.