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Finding the Fourth Proportional to 696.79, 961.46 and 416.96

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Solution

The fourth proportional to 696.79, 961.46 and 416.96 is: 575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.79 : 961.46 = 416.96 : x
  2. Step 2: Convert to fraction form
    696.79/961.46 = 416.96/x
  3. Step 3: Cross multiply
    696.79x = 961.46 × 416.96
  4. Step 4: Simplify right side
    696.79x = 400,887.11
  5. Step 5: Solve for x
    x = 400,887.11/696.79
  6. Step 6: Final answer
    x = 575.34

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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.