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Finding the Fourth Proportional to 1,027.19, 1,416.80 and 695.90

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Solution

The fourth proportional to 1,027.19, 1,416.80 and 695.90 is: 959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.19 : 1,416.80 = 695.90 : x
  2. Step 2: Convert to fraction form
    1,027.19/1,416.80 = 695.90/x
  3. Step 3: Cross multiply
    1,027.19x = 1,416.80 × 695.90
  4. Step 4: Simplify right side
    1,027.19x = 985,940.56
  5. Step 5: Solve for x
    x = 985,940.56/1,027.19
  6. Step 6: Final answer
    x = 959.85

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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.