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Finding the Fourth Proportional to 1,171.20, 1,609.02 and 1,048.50

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Solution

The fourth proportional to 1,171.20, 1,609.02 and 1,048.50 is: 1,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.20 : 1,609.02 = 1,048.50 : x
  2. Step 2: Convert to fraction form
    1,171.20/1,609.02 = 1,048.50/x
  3. Step 3: Cross multiply
    1,171.20x = 1,609.02 × 1,048.50
  4. Step 4: Simplify right side
    1,171.20x = 1,687,057.47
  5. Step 5: Solve for x
    x = 1,687,057.47/1,171.20
  6. Step 6: Final answer
    x = 1,440.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.