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Finding the Fourth Proportional to 387.72, 580.86 and 283.83

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Solution

The fourth proportional to 387.72, 580.86 and 283.83 is: 425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.72 : 580.86 = 283.83 : x
  2. Step 2: Convert to fraction form
    387.72/580.86 = 283.83/x
  3. Step 3: Cross multiply
    387.72x = 580.86 × 283.83
  4. Step 4: Simplify right side
    387.72x = 164,865.49
  5. Step 5: Solve for x
    x = 164,865.49/387.72
  6. Step 6: Final answer
    x = 425.22

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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.