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Finding the Fourth Proportional to 775.31, 1,154.66 and 728.19

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Solution

The fourth proportional to 775.31, 1,154.66 and 728.19 is: 1,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 1,154.66 = 728.19 : x
  2. Step 2: Convert to fraction form
    775.31/1,154.66 = 728.19/x
  3. Step 3: Cross multiply
    775.31x = 1,154.66 × 728.19
  4. Step 4: Simplify right side
    775.31x = 840,808.22
  5. Step 5: Solve for x
    x = 840,808.22/775.31
  6. Step 6: Final answer
    x = 1,084.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.