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Finding the Fourth Proportional to 1,193.08, 1,646.33 and 695.61

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Solution

The fourth proportional to 1,193.08, 1,646.33 and 695.61 is: 959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.08 : 1,646.33 = 695.61 : x
  2. Step 2: Convert to fraction form
    1,193.08/1,646.33 = 695.61/x
  3. Step 3: Cross multiply
    1,193.08x = 1,646.33 × 695.61
  4. Step 4: Simplify right side
    1,193.08x = 1,145,204.76
  5. Step 5: Solve for x
    x = 1,145,204.76/1,193.08
  6. Step 6: Final answer
    x = 959.87

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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.