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Finding the Fourth Proportional to 696.31, 961.18 and 475.38

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Solution

The fourth proportional to 696.31, 961.18 and 475.38 is: 656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.31 : 961.18 = 475.38 : x
  2. Step 2: Convert to fraction form
    696.31/961.18 = 475.38/x
  3. Step 3: Cross multiply
    696.31x = 961.18 × 475.38
  4. Step 4: Simplify right side
    696.31x = 456,925.75
  5. Step 5: Solve for x
    x = 456,925.75/696.31
  6. Step 6: Final answer
    x = 656.21

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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.