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Finding the Fourth Proportional to 1,062.45, 1,465.97 and 642.69

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Solution

The fourth proportional to 1,062.45, 1,465.97 and 642.69 is: 886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.45 : 1,465.97 = 642.69 : x
  2. Step 2: Convert to fraction form
    1,062.45/1,465.97 = 642.69/x
  3. Step 3: Cross multiply
    1,062.45x = 1,465.97 × 642.69
  4. Step 4: Simplify right side
    1,062.45x = 942,161.05
  5. Step 5: Solve for x
    x = 942,161.05/1,062.45
  6. Step 6: Final answer
    x = 886.78

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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.