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Finding the Fourth Proportional to 576.30, 864.52 and 359.70

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Solution

The fourth proportional to 576.30, 864.52 and 359.70 is: 539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 864.52 = 359.70 : x
  2. Step 2: Convert to fraction form
    576.30/864.52 = 359.70/x
  3. Step 3: Cross multiply
    576.30x = 864.52 × 359.70
  4. Step 4: Simplify right side
    576.30x = 310,967.84
  5. Step 5: Solve for x
    x = 310,967.84/576.30
  6. Step 6: Final answer
    x = 539.59

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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.