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Finding the Fourth Proportional to 738.70, 1,106.34 and 449.62

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Solution

The fourth proportional to 738.70, 1,106.34 and 449.62 is: 673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.70 : 1,106.34 = 449.62 : x
  2. Step 2: Convert to fraction form
    738.70/1,106.34 = 449.62/x
  3. Step 3: Cross multiply
    738.70x = 1,106.34 × 449.62
  4. Step 4: Simplify right side
    738.70x = 497,432.59
  5. Step 5: Solve for x
    x = 497,432.59/738.70
  6. Step 6: Final answer
    x = 673.39

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1.5x scale

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.