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Finding the Fourth Proportional to 576.32, 863.66 and 510.98

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Solution

The fourth proportional to 576.32, 863.66 and 510.98 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.32 : 863.66 = 510.98 : x
  2. Step 2: Convert to fraction form
    576.32/863.66 = 510.98/x
  3. Step 3: Cross multiply
    576.32x = 863.66 × 510.98
  4. Step 4: Simplify right side
    576.32x = 441,309.95
  5. Step 5: Solve for x
    x = 441,309.95/576.32
  6. Step 6: Final answer
    x = 765.74

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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.