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Finding the Fourth Proportional to 901.90, 1,354.20 and 696.70

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Solution

The fourth proportional to 901.90, 1,354.20 and 696.70 is: 1,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.90 : 1,354.20 = 696.70 : x
  2. Step 2: Convert to fraction form
    901.90/1,354.20 = 696.70/x
  3. Step 3: Cross multiply
    901.90x = 1,354.20 × 696.70
  4. Step 4: Simplify right side
    901.90x = 943,471.14
  5. Step 5: Solve for x
    x = 943,471.14/901.90
  6. Step 6: Final answer
    x = 1,046.09

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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.