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Finding the Fourth Proportional to 1,154.07, 1,728.32 and 807.75

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Solution

The fourth proportional to 1,154.07, 1,728.32 and 807.75 is: 1,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.07 : 1,728.32 = 807.75 : x
  2. Step 2: Convert to fraction form
    1,154.07/1,728.32 = 807.75/x
  3. Step 3: Cross multiply
    1,154.07x = 1,728.32 × 807.75
  4. Step 4: Simplify right side
    1,154.07x = 1,396,046.44
  5. Step 5: Solve for x
    x = 1,396,046.44/1,154.07
  6. Step 6: Final answer
    x = 1,209.67

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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.