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Finding the Fourth Proportional to 576.43, 864.79 and 302.45

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Solution

The fourth proportional to 576.43, 864.79 and 302.45 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.43 : 864.79 = 302.45 : x
  2. Step 2: Convert to fraction form
    576.43/864.79 = 302.45/x
  3. Step 3: Cross multiply
    576.43x = 864.79 × 302.45
  4. Step 4: Simplify right side
    576.43x = 261,551.41
  5. Step 5: Solve for x
    x = 261,551.41/576.43
  6. Step 6: Final answer
    x = 453.75

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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.