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Finding the Fourth Proportional to 942.03, 1,306.13 and 911.66

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Solution

The fourth proportional to 942.03, 1,306.13 and 911.66 is: 1,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.03 : 1,306.13 = 911.66 : x
  2. Step 2: Convert to fraction form
    942.03/1,306.13 = 911.66/x
  3. Step 3: Cross multiply
    942.03x = 1,306.13 × 911.66
  4. Step 4: Simplify right side
    942.03x = 1,190,735.39
  5. Step 5: Solve for x
    x = 1,190,735.39/942.03
  6. Step 6: Final answer
    x = 1,264.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.