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Finding the Fourth Proportional to 1,035.36, 1,550.51 and 669.05

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Solution

The fourth proportional to 1,035.36, 1,550.51 and 669.05 is: 1,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.36 : 1,550.51 = 669.05 : x
  2. Step 2: Convert to fraction form
    1,035.36/1,550.51 = 669.05/x
  3. Step 3: Cross multiply
    1,035.36x = 1,550.51 × 669.05
  4. Step 4: Simplify right side
    1,035.36x = 1,037,357.62
  5. Step 5: Solve for x
    x = 1,037,357.62/1,035.36
  6. Step 6: Final answer
    x = 1,001.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.