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Finding the Fourth Proportional to 1,011, 1,516.50 and 327

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Solution

The fourth proportional to 1,011, 1,516.50 and 327 is: 490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011 : 1,516.50 = 327 : x
  2. Step 2: Convert to fraction form
    1,011/1,516.50 = 327/x
  3. Step 3: Cross multiply
    1,011x = 1,516.50 × 327
  4. Step 4: Simplify right side
    1,011x = 495,895.50
  5. Step 5: Solve for x
    x = 495,895.50/1,011
  6. Step 6: Final answer
    x = 490.50

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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.