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Finding the Fourth Proportional to 696.75, 961.35 and 416.94

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Solution

The fourth proportional to 696.75, 961.35 and 416.94 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 961.35 = 416.94 : x
  2. Step 2: Convert to fraction form
    696.75/961.35 = 416.94/x
  3. Step 3: Cross multiply
    696.75x = 961.35 × 416.94
  4. Step 4: Simplify right side
    696.75x = 400,825.27
  5. Step 5: Solve for x
    x = 400,825.27/696.75
  6. Step 6: Final answer
    x = 575.28

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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.