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Finding the Fourth Proportional to 738.75, 1,107.97 and 410.01

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Solution

The fourth proportional to 738.75, 1,107.97 and 410.01 is: 614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,107.97 = 410.01 : x
  2. Step 2: Convert to fraction form
    738.75/1,107.97 = 410.01/x
  3. Step 3: Cross multiply
    738.75x = 1,107.97 × 410.01
  4. Step 4: Simplify right side
    738.75x = 454,278.78
  5. Step 5: Solve for x
    x = 454,278.78/738.75
  6. Step 6: Final answer
    x = 614.93

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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.