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Finding the Fourth Proportional to 693.36, 956.76 and 398.64

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Solution

The fourth proportional to 693.36, 956.76 and 398.64 is: 550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.36 : 956.76 = 398.64 : x
  2. Step 2: Convert to fraction form
    693.36/956.76 = 398.64/x
  3. Step 3: Cross multiply
    693.36x = 956.76 × 398.64
  4. Step 4: Simplify right side
    693.36x = 381,402.81
  5. Step 5: Solve for x
    x = 381,402.81/693.36
  6. Step 6: Final answer
    x = 550.08

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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.