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Finding the Fourth Proportional to 1,004.42, 1,386.05 and 550.17

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Solution

The fourth proportional to 1,004.42, 1,386.05 and 550.17 is: 759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.42 : 1,386.05 = 550.17 : x
  2. Step 2: Convert to fraction form
    1,004.42/1,386.05 = 550.17/x
  3. Step 3: Cross multiply
    1,004.42x = 1,386.05 × 550.17
  4. Step 4: Simplify right side
    1,004.42x = 762,556.20
  5. Step 5: Solve for x
    x = 762,556.20/1,004.42
  6. Step 6: Final answer
    x = 759.20

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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.