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Finding the Fourth Proportional to 942.22, 1,402.77 and 937.66

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Solution

The fourth proportional to 942.22, 1,402.77 and 937.66 is: 1,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,402.77 = 937.66 : x
  2. Step 2: Convert to fraction form
    942.22/1,402.77 = 937.66/x
  3. Step 3: Cross multiply
    942.22x = 1,402.77 × 937.66
  4. Step 4: Simplify right side
    942.22x = 1,315,314.30
  5. Step 5: Solve for x
    x = 1,315,314.30/942.22
  6. Step 6: Final answer
    x = 1,395.98

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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.