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Finding the Fourth Proportional to 487.39, 730.39 and 282.01

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Solution

The fourth proportional to 487.39, 730.39 and 282.01 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.39 : 730.39 = 282.01 : x
  2. Step 2: Convert to fraction form
    487.39/730.39 = 282.01/x
  3. Step 3: Cross multiply
    487.39x = 730.39 × 282.01
  4. Step 4: Simplify right side
    487.39x = 205,977.28
  5. Step 5: Solve for x
    x = 205,977.28/487.39
  6. Step 6: Final answer
    x = 422.61

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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.