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Finding the Fourth Proportional to 1,062.30, 1,465.83 and 669.25

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Solution

The fourth proportional to 1,062.30, 1,465.83 and 669.25 is: 923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.30 : 1,465.83 = 669.25 : x
  2. Step 2: Convert to fraction form
    1,062.30/1,465.83 = 669.25/x
  3. Step 3: Cross multiply
    1,062.30x = 1,465.83 × 669.25
  4. Step 4: Simplify right side
    1,062.30x = 981,006.73
  5. Step 5: Solve for x
    x = 981,006.73/1,062.30
  6. Step 6: Final answer
    x = 923.47

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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.