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Finding the Fourth Proportional to 803.92, 1,204.80 and 392.18

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Solution

The fourth proportional to 803.92, 1,204.80 and 392.18 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.92 : 1,204.80 = 392.18 : x
  2. Step 2: Convert to fraction form
    803.92/1,204.80 = 392.18/x
  3. Step 3: Cross multiply
    803.92x = 1,204.80 × 392.18
  4. Step 4: Simplify right side
    803.92x = 472,498.46
  5. Step 5: Solve for x
    x = 472,498.46/803.92
  6. Step 6: Final answer
    x = 587.74

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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.