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Finding the Fourth Proportional to 738.10, 1,108.05 and 409.30

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Solution

The fourth proportional to 738.10, 1,108.05 and 409.30 is: 614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.10 : 1,108.05 = 409.30 : x
  2. Step 2: Convert to fraction form
    738.10/1,108.05 = 409.30/x
  3. Step 3: Cross multiply
    738.10x = 1,108.05 × 409.30
  4. Step 4: Simplify right side
    738.10x = 453,524.87
  5. Step 5: Solve for x
    x = 453,524.87/738.10
  6. Step 6: Final answer
    x = 614.45

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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.