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Finding the Fourth Proportional to 1,230.05, 1,687.93 and 1,118.68

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Solution

The fourth proportional to 1,230.05, 1,687.93 and 1,118.68 is: 1,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.05 : 1,687.93 = 1,118.68 : x
  2. Step 2: Convert to fraction form
    1,230.05/1,687.93 = 1,118.68/x
  3. Step 3: Cross multiply
    1,230.05x = 1,687.93 × 1,118.68
  4. Step 4: Simplify right side
    1,230.05x = 1,888,246.52
  5. Step 5: Solve for x
    x = 1,888,246.52/1,230.05
  6. Step 6: Final answer
    x = 1,535.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.