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Finding the Fourth Proportional to 740.15, 1,104.45 and 674.66

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Solution

The fourth proportional to 740.15, 1,104.45 and 674.66 is: 1,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.15 : 1,104.45 = 674.66 : x
  2. Step 2: Convert to fraction form
    740.15/1,104.45 = 674.66/x
  3. Step 3: Cross multiply
    740.15x = 1,104.45 × 674.66
  4. Step 4: Simplify right side
    740.15x = 745,128.24
  5. Step 5: Solve for x
    x = 745,128.24/740.15
  6. Step 6: Final answer
    x = 1,006.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.