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Finding the Fourth Proportional to 576.12, 867.62 and 432.84

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Solution

The fourth proportional to 576.12, 867.62 and 432.84 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.12 : 867.62 = 432.84 : x
  2. Step 2: Convert to fraction form
    576.12/867.62 = 432.84/x
  3. Step 3: Cross multiply
    576.12x = 867.62 × 432.84
  4. Step 4: Simplify right side
    576.12x = 375,540.64
  5. Step 5: Solve for x
    x = 375,540.64/576.12
  6. Step 6: Final answer
    x = 651.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.