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Finding the Fourth Proportional to 1,325.65, 1,829.43 and 728.17

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Solution

The fourth proportional to 1,325.65, 1,829.43 and 728.17 is: 1,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.65 : 1,829.43 = 728.17 : x
  2. Step 2: Convert to fraction form
    1,325.65/1,829.43 = 728.17/x
  3. Step 3: Cross multiply
    1,325.65x = 1,829.43 × 728.17
  4. Step 4: Simplify right side
    1,325.65x = 1,332,136.04
  5. Step 5: Solve for x
    x = 1,332,136.04/1,325.65
  6. Step 6: Final answer
    x = 1,004.89

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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.