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Finding the Fourth Proportional to 901.10, 1,242.06 and 889.76

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Solution

The fourth proportional to 901.10, 1,242.06 and 889.76 is: 1,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.10 : 1,242.06 = 889.76 : x
  2. Step 2: Convert to fraction form
    901.10/1,242.06 = 889.76/x
  3. Step 3: Cross multiply
    901.10x = 1,242.06 × 889.76
  4. Step 4: Simplify right side
    901.10x = 1,105,135.31
  5. Step 5: Solve for x
    x = 1,105,135.31/901.10
  6. Step 6: Final answer
    x = 1,226.43

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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.