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Finding the Fourth Proportional to 1,006.26, 1,505.50 and 616.17

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Solution

The fourth proportional to 1,006.26, 1,505.50 and 616.17 is: 921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.26 : 1,505.50 = 616.17 : x
  2. Step 2: Convert to fraction form
    1,006.26/1,505.50 = 616.17/x
  3. Step 3: Cross multiply
    1,006.26x = 1,505.50 × 616.17
  4. Step 4: Simplify right side
    1,006.26x = 927,651.51
  5. Step 5: Solve for x
    x = 927,651.51/1,006.26
  6. Step 6: Final answer
    x = 921.88

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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.