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Finding the Fourth Proportional to 740.67, 1,109.11 and 718.77

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Solution

The fourth proportional to 740.67, 1,109.11 and 718.77 is: 1,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.67 : 1,109.11 = 718.77 : x
  2. Step 2: Convert to fraction form
    740.67/1,109.11 = 718.77/x
  3. Step 3: Cross multiply
    740.67x = 1,109.11 × 718.77
  4. Step 4: Simplify right side
    740.67x = 797,191.40
  5. Step 5: Solve for x
    x = 797,191.40/740.67
  6. Step 6: Final answer
    x = 1,076.32

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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.