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Finding the Fourth Proportional to 943.09, 1,301.98 and 644.78

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Solution

The fourth proportional to 943.09, 1,301.98 and 644.78 is: 890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.09 : 1,301.98 = 644.78 : x
  2. Step 2: Convert to fraction form
    943.09/1,301.98 = 644.78/x
  3. Step 3: Cross multiply
    943.09x = 1,301.98 × 644.78
  4. Step 4: Simplify right side
    943.09x = 839,490.66
  5. Step 5: Solve for x
    x = 839,490.66/943.09
  6. Step 6: Final answer
    x = 890.15

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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.