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Finding the Fourth Proportional to 800.39, 1,200.54 and 384.23

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Solution

The fourth proportional to 800.39, 1,200.54 and 384.23 is: 576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,200.54 = 384.23 : x
  2. Step 2: Convert to fraction form
    800.39/1,200.54 = 384.23/x
  3. Step 3: Cross multiply
    800.39x = 1,200.54 × 384.23
  4. Step 4: Simplify right side
    800.39x = 461,277.48
  5. Step 5: Solve for x
    x = 461,277.48/800.39
  6. Step 6: Final answer
    x = 576.32

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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.