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Finding the Fourth Proportional to 696.40, 961.02 and 381.66

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Solution

The fourth proportional to 696.40, 961.02 and 381.66 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.40 : 961.02 = 381.66 : x
  2. Step 2: Convert to fraction form
    696.40/961.02 = 381.66/x
  3. Step 3: Cross multiply
    696.40x = 961.02 × 381.66
  4. Step 4: Simplify right side
    696.40x = 366,782.89
  5. Step 5: Solve for x
    x = 366,782.89/696.40
  6. Step 6: Final answer
    x = 526.68

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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.