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Finding the Fourth Proportional to 800.49, 1,200.29 and 388.74

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Solution

The fourth proportional to 800.49, 1,200.29 and 388.74 is: 582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.49 : 1,200.29 = 388.74 : x
  2. Step 2: Convert to fraction form
    800.49/1,200.29 = 388.74/x
  3. Step 3: Cross multiply
    800.49x = 1,200.29 × 388.74
  4. Step 4: Simplify right side
    800.49x = 466,598.79
  5. Step 5: Solve for x
    x = 466,598.79/800.49
  6. Step 6: Final answer
    x = 582.89

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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.