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Finding the Fourth Proportional to 576.62, 864.06 and 429.68

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Solution

The fourth proportional to 576.62, 864.06 and 429.68 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.62 : 864.06 = 429.68 : x
  2. Step 2: Convert to fraction form
    576.62/864.06 = 429.68/x
  3. Step 3: Cross multiply
    576.62x = 864.06 × 429.68
  4. Step 4: Simplify right side
    576.62x = 371,263.37
  5. Step 5: Solve for x
    x = 371,263.37/576.62
  6. Step 6: Final answer
    x = 643.86

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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.