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Finding the Fourth Proportional to 943.11, 1,302.21 and 649.08

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Solution

The fourth proportional to 943.11, 1,302.21 and 649.08 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.11 : 1,302.21 = 649.08 : x
  2. Step 2: Convert to fraction form
    943.11/1,302.21 = 649.08/x
  3. Step 3: Cross multiply
    943.11x = 1,302.21 × 649.08
  4. Step 4: Simplify right side
    943.11x = 845,238.47
  5. Step 5: Solve for x
    x = 845,238.47/943.11
  6. Step 6: Final answer
    x = 896.22

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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.