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Finding the Fourth Proportional to 901.12, 1,237.12 and 813.28

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Solution

The fourth proportional to 901.12, 1,237.12 and 813.28 is: 1,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.12 : 1,237.12 = 813.28 : x
  2. Step 2: Convert to fraction form
    901.12/1,237.12 = 813.28/x
  3. Step 3: Cross multiply
    901.12x = 1,237.12 × 813.28
  4. Step 4: Simplify right side
    901.12x = 1,006,124.95
  5. Step 5: Solve for x
    x = 1,006,124.95/901.12
  6. Step 6: Final answer
    x = 1,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.