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Finding the Fourth Proportional to 741.08, 1,105.09 and 690.82

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Solution

The fourth proportional to 741.08, 1,105.09 and 690.82 is: 1,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.08 : 1,105.09 = 690.82 : x
  2. Step 2: Convert to fraction form
    741.08/1,105.09 = 690.82/x
  3. Step 3: Cross multiply
    741.08x = 1,105.09 × 690.82
  4. Step 4: Simplify right side
    741.08x = 763,413.78
  5. Step 5: Solve for x
    x = 763,413.78/741.08
  6. Step 6: Final answer
    x = 1,030.13

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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.