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Finding the Fourth Proportional to 693.39, 956.90 and 398.75

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Solution

The fourth proportional to 693.39, 956.90 and 398.75 is: 550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.39 : 956.90 = 398.75 : x
  2. Step 2: Convert to fraction form
    693.39/956.90 = 398.75/x
  3. Step 3: Cross multiply
    693.39x = 956.90 × 398.75
  4. Step 4: Simplify right side
    693.39x = 381,557.10
  5. Step 5: Solve for x
    x = 381,557.10/693.39
  6. Step 6: Final answer
    x = 550.28

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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.