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Finding the Fourth Proportional to 460.85, 636.03 and 283.91

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Solution

The fourth proportional to 460.85, 636.03 and 283.91 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.85 : 636.03 = 283.91 : x
  2. Step 2: Convert to fraction form
    460.85/636.03 = 283.91/x
  3. Step 3: Cross multiply
    460.85x = 636.03 × 283.91
  4. Step 4: Simplify right side
    460.85x = 180,572.10
  5. Step 5: Solve for x
    x = 180,572.10/460.85
  6. Step 6: Final answer
    x = 391.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.