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Finding the Fourth Proportional to 803.46, 1,204.46 and 386.76

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Solution

The fourth proportional to 803.46, 1,204.46 and 386.76 is: 579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.46 : 1,204.46 = 386.76 : x
  2. Step 2: Convert to fraction form
    803.46/1,204.46 = 386.76/x
  3. Step 3: Cross multiply
    803.46x = 1,204.46 × 386.76
  4. Step 4: Simplify right side
    803.46x = 465,835.02
  5. Step 5: Solve for x
    x = 465,835.02/803.46
  6. Step 6: Final answer
    x = 579.79

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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.