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Finding the Fourth Proportional to 1,128.52, 1,555.50 and 866.62

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Solution

The fourth proportional to 1,128.52, 1,555.50 and 866.62 is: 1,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.52 : 1,555.50 = 866.62 : x
  2. Step 2: Convert to fraction form
    1,128.52/1,555.50 = 866.62/x
  3. Step 3: Cross multiply
    1,128.52x = 1,555.50 × 866.62
  4. Step 4: Simplify right side
    1,128.52x = 1,348,027.41
  5. Step 5: Solve for x
    x = 1,348,027.41/1,128.52
  6. Step 6: Final answer
    x = 1,194.51

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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.