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Finding the Fourth Proportional to 901.45, 1,354.89 and 882.31

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Solution

The fourth proportional to 901.45, 1,354.89 and 882.31 is: 1,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.45 : 1,354.89 = 882.31 : x
  2. Step 2: Convert to fraction form
    901.45/1,354.89 = 882.31/x
  3. Step 3: Cross multiply
    901.45x = 1,354.89 × 882.31
  4. Step 4: Simplify right side
    901.45x = 1,195,433.00
  5. Step 5: Solve for x
    x = 1,195,433.00/901.45
  6. Step 6: Final answer
    x = 1,326.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.