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Finding the Fourth Proportional to 695.57, 959.88 and 400.83

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Solution

The fourth proportional to 695.57, 959.88 and 400.83 is: 553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.57 : 959.88 = 400.83 : x
  2. Step 2: Convert to fraction form
    695.57/959.88 = 400.83/x
  3. Step 3: Cross multiply
    695.57x = 959.88 × 400.83
  4. Step 4: Simplify right side
    695.57x = 384,748.70
  5. Step 5: Solve for x
    x = 384,748.70/695.57
  6. Step 6: Final answer
    x = 553.14

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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.