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Finding the Fourth Proportional to 576.14, 862.98 and 536.18

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Solution

The fourth proportional to 576.14, 862.98 and 536.18 is: 803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.14 : 862.98 = 536.18 : x
  2. Step 2: Convert to fraction form
    576.14/862.98 = 536.18/x
  3. Step 3: Cross multiply
    576.14x = 862.98 × 536.18
  4. Step 4: Simplify right side
    576.14x = 462,712.62
  5. Step 5: Solve for x
    x = 462,712.62/576.14
  6. Step 6: Final answer
    x = 803.13

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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.