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Finding the Fourth Proportional to 1,316.65, 1,816.96 and 727.15

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Solution

The fourth proportional to 1,316.65, 1,816.96 and 727.15 is: 1,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.65 : 1,816.96 = 727.15 : x
  2. Step 2: Convert to fraction form
    1,316.65/1,816.96 = 727.15/x
  3. Step 3: Cross multiply
    1,316.65x = 1,816.96 × 727.15
  4. Step 4: Simplify right side
    1,316.65x = 1,321,195.20
  5. Step 5: Solve for x
    x = 1,321,195.20/1,316.65
  6. Step 6: Final answer
    x = 1,003.45

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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.