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Finding the Fourth Proportional to 576.11, 859.74 and 514.60

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Solution

The fourth proportional to 576.11, 859.74 and 514.60 is: 767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.11 : 859.74 = 514.60 : x
  2. Step 2: Convert to fraction form
    576.11/859.74 = 514.60/x
  3. Step 3: Cross multiply
    576.11x = 859.74 × 514.60
  4. Step 4: Simplify right side
    576.11x = 442,422.20
  5. Step 5: Solve for x
    x = 442,422.20/576.11
  6. Step 6: Final answer
    x = 767.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.