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Finding the Fourth Proportional to 803.32, 1,205.02 and 392.80

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Solution

The fourth proportional to 803.32, 1,205.02 and 392.80 is: 589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.32 : 1,205.02 = 392.80 : x
  2. Step 2: Convert to fraction form
    803.32/1,205.02 = 392.80/x
  3. Step 3: Cross multiply
    803.32x = 1,205.02 × 392.80
  4. Step 4: Simplify right side
    803.32x = 473,331.86
  5. Step 5: Solve for x
    x = 473,331.86/803.32
  6. Step 6: Final answer
    x = 589.22

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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.