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Finding the Fourth Proportional to 901.46, 1,246.19 and 893.16

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Solution

The fourth proportional to 901.46, 1,246.19 and 893.16 is: 1,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.46 : 1,246.19 = 893.16 : x
  2. Step 2: Convert to fraction form
    901.46/1,246.19 = 893.16/x
  3. Step 3: Cross multiply
    901.46x = 1,246.19 × 893.16
  4. Step 4: Simplify right side
    901.46x = 1,113,042.59
  5. Step 5: Solve for x
    x = 1,113,042.59/901.46
  6. Step 6: Final answer
    x = 1,234.71

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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.