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Finding the Fourth Proportional to 943.17, 1,302.09 and 660.02

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Solution

The fourth proportional to 943.17, 1,302.09 and 660.02 is: 911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.17 : 1,302.09 = 660.02 : x
  2. Step 2: Convert to fraction form
    943.17/1,302.09 = 660.02/x
  3. Step 3: Cross multiply
    943.17x = 1,302.09 × 660.02
  4. Step 4: Simplify right side
    943.17x = 859,401.34
  5. Step 5: Solve for x
    x = 859,401.34/943.17
  6. Step 6: Final answer
    x = 911.19

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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.