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Finding the Fourth Proportional to 693.22, 956.70 and 382.72

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Solution

The fourth proportional to 693.22, 956.70 and 382.72 is: 528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.22 : 956.70 = 382.72 : x
  2. Step 2: Convert to fraction form
    693.22/956.70 = 382.72/x
  3. Step 3: Cross multiply
    693.22x = 956.70 × 382.72
  4. Step 4: Simplify right side
    693.22x = 366,148.22
  5. Step 5: Solve for x
    x = 366,148.22/693.22
  6. Step 6: Final answer
    x = 528.18

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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.