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Finding the Fourth Proportional to 693.38, 956.87 and 378.65

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Solution

The fourth proportional to 693.38, 956.87 and 378.65 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.38 : 956.87 = 378.65 : x
  2. Step 2: Convert to fraction form
    693.38/956.87 = 378.65/x
  3. Step 3: Cross multiply
    693.38x = 956.87 × 378.65
  4. Step 4: Simplify right side
    693.38x = 362,318.83
  5. Step 5: Solve for x
    x = 362,318.83/693.38
  6. Step 6: Final answer
    x = 522.54

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Double scale
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1.5x scale

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.