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Finding the Fourth Proportional to 941.72, 1,402.02 and 937.16

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Solution

The fourth proportional to 941.72, 1,402.02 and 937.16 is: 1,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,402.02 = 937.16 : x
  2. Step 2: Convert to fraction form
    941.72/1,402.02 = 937.16/x
  3. Step 3: Cross multiply
    941.72x = 1,402.02 × 937.16
  4. Step 4: Simplify right side
    941.72x = 1,313,913.57
  5. Step 5: Solve for x
    x = 1,313,913.57/941.72
  6. Step 6: Final answer
    x = 1,395.23

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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.