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Finding the Fourth Proportional to 576.49, 864.40 and 287.93

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Solution

The fourth proportional to 576.49, 864.40 and 287.93 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.49 : 864.40 = 287.93 : x
  2. Step 2: Convert to fraction form
    576.49/864.40 = 287.93/x
  3. Step 3: Cross multiply
    576.49x = 864.40 × 287.93
  4. Step 4: Simplify right side
    576.49x = 248,886.69
  5. Step 5: Solve for x
    x = 248,886.69/576.49
  6. Step 6: Final answer
    x = 431.73

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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.