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Finding the Fourth Proportional to 1,270.50, 1,752.67 and 798.15

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Solution

The fourth proportional to 1,270.50, 1,752.67 and 798.15 is: 1,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.50 : 1,752.67 = 798.15 : x
  2. Step 2: Convert to fraction form
    1,270.50/1,752.67 = 798.15/x
  3. Step 3: Cross multiply
    1,270.50x = 1,752.67 × 798.15
  4. Step 4: Simplify right side
    1,270.50x = 1,398,901.13
  5. Step 5: Solve for x
    x = 1,398,901.13/1,270.50
  6. Step 6: Final answer
    x = 1,101.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.