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Finding the Fourth Proportional to 738.84, 1,107.21 and 409.92

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Solution

The fourth proportional to 738.84, 1,107.21 and 409.92 is: 614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,107.21 = 409.92 : x
  2. Step 2: Convert to fraction form
    738.84/1,107.21 = 409.92/x
  3. Step 3: Cross multiply
    738.84x = 1,107.21 × 409.92
  4. Step 4: Simplify right side
    738.84x = 453,862.71
  5. Step 5: Solve for x
    x = 453,862.71/738.84
  6. Step 6: Final answer
    x = 614.30

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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.