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Finding the Fourth Proportional to 696.88, 960.32 and 460.56

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Solution

The fourth proportional to 696.88, 960.32 and 460.56 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.88 : 960.32 = 460.56 : x
  2. Step 2: Convert to fraction form
    696.88/960.32 = 460.56/x
  3. Step 3: Cross multiply
    696.88x = 960.32 × 460.56
  4. Step 4: Simplify right side
    696.88x = 442,284.98
  5. Step 5: Solve for x
    x = 442,284.98/696.88
  6. Step 6: Final answer
    x = 634.66

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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.