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Finding the Fourth Proportional to 689.87, 1,035.11 and 397.37

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Solution

The fourth proportional to 689.87, 1,035.11 and 397.37 is: 596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 1,035.11 = 397.37 : x
  2. Step 2: Convert to fraction form
    689.87/1,035.11 = 397.37/x
  3. Step 3: Cross multiply
    689.87x = 1,035.11 × 397.37
  4. Step 4: Simplify right side
    689.87x = 411,325.24
  5. Step 5: Solve for x
    x = 411,325.24/689.87
  6. Step 6: Final answer
    x = 596.23

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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.