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Finding the Fourth Proportional to 1,011.91, 1,516.42 and 578.17

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Solution

The fourth proportional to 1,011.91, 1,516.42 and 578.17 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.91 : 1,516.42 = 578.17 : x
  2. Step 2: Convert to fraction form
    1,011.91/1,516.42 = 578.17/x
  3. Step 3: Cross multiply
    1,011.91x = 1,516.42 × 578.17
  4. Step 4: Simplify right side
    1,011.91x = 876,748.55
  5. Step 5: Solve for x
    x = 876,748.55/1,011.91
  6. Step 6: Final answer
    x = 866.43

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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.