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Finding the Fourth Proportional to 1,162.75, 1,604.80 and 665.41

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Solution

The fourth proportional to 1,162.75, 1,604.80 and 665.41 is: 918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.75 : 1,604.80 = 665.41 : x
  2. Step 2: Convert to fraction form
    1,162.75/1,604.80 = 665.41/x
  3. Step 3: Cross multiply
    1,162.75x = 1,604.80 × 665.41
  4. Step 4: Simplify right side
    1,162.75x = 1,067,849.97
  5. Step 5: Solve for x
    x = 1,067,849.97/1,162.75
  6. Step 6: Final answer
    x = 918.38

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1.5x scale

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.