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Finding the Fourth Proportional to 943.40, 1,301.42 and 628.80

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Solution

The fourth proportional to 943.40, 1,301.42 and 628.80 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.40 : 1,301.42 = 628.80 : x
  2. Step 2: Convert to fraction form
    943.40/1,301.42 = 628.80/x
  3. Step 3: Cross multiply
    943.40x = 1,301.42 × 628.80
  4. Step 4: Simplify right side
    943.40x = 818,332.90
  5. Step 5: Solve for x
    x = 818,332.90/943.40
  6. Step 6: Final answer
    x = 867.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.