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Finding the Fourth Proportional to 1,001.36, 1,505.28 and 996.50

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Solution

The fourth proportional to 1,001.36, 1,505.28 and 996.50 is: 1,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.36 : 1,505.28 = 996.50 : x
  2. Step 2: Convert to fraction form
    1,001.36/1,505.28 = 996.50/x
  3. Step 3: Cross multiply
    1,001.36x = 1,505.28 × 996.50
  4. Step 4: Simplify right side
    1,001.36x = 1,500,019.02
  5. Step 5: Solve for x
    x = 1,500,019.02/1,001.36
  6. Step 6: Final answer
    x = 1,497.98

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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.