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Finding the Fourth Proportional to 576.06, 864.09 and 510.18

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Solution

The fourth proportional to 576.06, 864.09 and 510.18 is: 765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 864.09 = 510.18 : x
  2. Step 2: Convert to fraction form
    576.06/864.09 = 510.18/x
  3. Step 3: Cross multiply
    576.06x = 864.09 × 510.18
  4. Step 4: Simplify right side
    576.06x = 440,841.44
  5. Step 5: Solve for x
    x = 440,841.44/576.06
  6. Step 6: Final answer
    x = 765.27

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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.