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Finding the Fourth Proportional to 896.95, 1,238.14 and 803.53

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Solution

The fourth proportional to 896.95, 1,238.14 and 803.53 is: 1,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.95 : 1,238.14 = 803.53 : x
  2. Step 2: Convert to fraction form
    896.95/1,238.14 = 803.53/x
  3. Step 3: Cross multiply
    896.95x = 1,238.14 × 803.53
  4. Step 4: Simplify right side
    896.95x = 994,882.63
  5. Step 5: Solve for x
    x = 994,882.63/896.95
  6. Step 6: Final answer
    x = 1,109.18

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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.