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Finding the Fourth Proportional to 695.57, 959.89 and 400.90

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Solution

The fourth proportional to 695.57, 959.89 and 400.90 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.57 : 959.89 = 400.90 : x
  2. Step 2: Convert to fraction form
    695.57/959.89 = 400.90/x
  3. Step 3: Cross multiply
    695.57x = 959.89 × 400.90
  4. Step 4: Simplify right side
    695.57x = 384,813.10
  5. Step 5: Solve for x
    x = 384,813.10/695.57
  6. Step 6: Final answer
    x = 553.23

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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.