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Finding the Fourth Proportional to 740.14, 1,109.40 and 451.78

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Solution

The fourth proportional to 740.14, 1,109.40 and 451.78 is: 677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.14 : 1,109.40 = 451.78 : x
  2. Step 2: Convert to fraction form
    740.14/1,109.40 = 451.78/x
  3. Step 3: Cross multiply
    740.14x = 1,109.40 × 451.78
  4. Step 4: Simplify right side
    740.14x = 501,204.73
  5. Step 5: Solve for x
    x = 501,204.73/740.14
  6. Step 6: Final answer
    x = 677.18

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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.