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Finding the Fourth Proportional to 1,027.77, 1,418.43 and 696.89

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Solution

The fourth proportional to 1,027.77, 1,418.43 and 696.89 is: 961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.77 : 1,418.43 = 696.89 : x
  2. Step 2: Convert to fraction form
    1,027.77/1,418.43 = 696.89/x
  3. Step 3: Cross multiply
    1,027.77x = 1,418.43 × 696.89
  4. Step 4: Simplify right side
    1,027.77x = 988,482.59
  5. Step 5: Solve for x
    x = 988,482.59/1,027.77
  6. Step 6: Final answer
    x = 961.77

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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.