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Finding the Fourth Proportional to 1,123.77, 1,550.70 and 829.20

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Solution

The fourth proportional to 1,123.77, 1,550.70 and 829.20 is: 1,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.77 : 1,550.70 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,123.77/1,550.70 = 829.20/x
  3. Step 3: Cross multiply
    1,123.77x = 1,550.70 × 829.20
  4. Step 4: Simplify right side
    1,123.77x = 1,285,840.44
  5. Step 5: Solve for x
    x = 1,285,840.44/1,123.77
  6. Step 6: Final answer
    x = 1,144.22

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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.