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Finding the Fourth Proportional to 942.88, 1,408.56 and 750.72

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Solution

The fourth proportional to 942.88, 1,408.56 and 750.72 is: 1,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.88 : 1,408.56 = 750.72 : x
  2. Step 2: Convert to fraction form
    942.88/1,408.56 = 750.72/x
  3. Step 3: Cross multiply
    942.88x = 1,408.56 × 750.72
  4. Step 4: Simplify right side
    942.88x = 1,057,434.16
  5. Step 5: Solve for x
    x = 1,057,434.16/942.88
  6. Step 6: Final answer
    x = 1,121.49

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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.