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Finding the Fourth Proportional to 901.34, 1,344.22 and 813.86

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Solution

The fourth proportional to 901.34, 1,344.22 and 813.86 is: 1,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.34 : 1,344.22 = 813.86 : x
  2. Step 2: Convert to fraction form
    901.34/1,344.22 = 813.86/x
  3. Step 3: Cross multiply
    901.34x = 1,344.22 × 813.86
  4. Step 4: Simplify right side
    901.34x = 1,094,006.89
  5. Step 5: Solve for x
    x = 1,094,006.89/901.34
  6. Step 6: Final answer
    x = 1,213.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.