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Finding the Fourth Proportional to 694.80, 958.62 and 400.02

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Solution

The fourth proportional to 694.80, 958.62 and 400.02 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 958.62 = 400.02 : x
  2. Step 2: Convert to fraction form
    694.80/958.62 = 400.02/x
  3. Step 3: Cross multiply
    694.80x = 958.62 × 400.02
  4. Step 4: Simplify right side
    694.80x = 383,465.08
  5. Step 5: Solve for x
    x = 383,465.08/694.80
  6. Step 6: Final answer
    x = 551.91

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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.