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Finding the Fourth Proportional to 862.64, 1,191.12 and 696.32

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Solution

The fourth proportional to 862.64, 1,191.12 and 696.32 is: 961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.64 : 1,191.12 = 696.32 : x
  2. Step 2: Convert to fraction form
    862.64/1,191.12 = 696.32/x
  3. Step 3: Cross multiply
    862.64x = 1,191.12 × 696.32
  4. Step 4: Simplify right side
    862.64x = 829,400.68
  5. Step 5: Solve for x
    x = 829,400.68/862.64
  6. Step 6: Final answer
    x = 961.47

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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.