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Finding the Fourth Proportional to 1,193.28, 1,646.66 and 695.92

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Solution

The fourth proportional to 1,193.28, 1,646.66 and 695.92 is: 960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,646.66 = 695.92 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,646.66 = 695.92/x
  3. Step 3: Cross multiply
    1,193.28x = 1,646.66 × 695.92
  4. Step 4: Simplify right side
    1,193.28x = 1,145,943.63
  5. Step 5: Solve for x
    x = 1,145,943.63/1,193.28
  6. Step 6: Final answer
    x = 960.33

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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.