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Finding the Fourth Proportional to 696.32, 960.93 and 381.57

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Solution

The fourth proportional to 696.32, 960.93 and 381.57 is: 526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 960.93 = 381.57 : x
  2. Step 2: Convert to fraction form
    696.32/960.93 = 381.57/x
  3. Step 3: Cross multiply
    696.32x = 960.93 × 381.57
  4. Step 4: Simplify right side
    696.32x = 366,662.06
  5. Step 5: Solve for x
    x = 366,662.06/696.32
  6. Step 6: Final answer
    x = 526.57

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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.