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Finding the Fourth Proportional to 945.41, 1,418.11 and 784.22

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Solution

The fourth proportional to 945.41, 1,418.11 and 784.22 is: 1,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.41 : 1,418.11 = 784.22 : x
  2. Step 2: Convert to fraction form
    945.41/1,418.11 = 784.22/x
  3. Step 3: Cross multiply
    945.41x = 1,418.11 × 784.22
  4. Step 4: Simplify right side
    945.41x = 1,112,101.17
  5. Step 5: Solve for x
    x = 1,112,101.17/945.41
  6. Step 6: Final answer
    x = 1,176.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.