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Finding the Fourth Proportional to 1,162.19, 1,740.95 and 699.71

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Solution

The fourth proportional to 1,162.19, 1,740.95 and 699.71 is: 1,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.19 : 1,740.95 = 699.71 : x
  2. Step 2: Convert to fraction form
    1,162.19/1,740.95 = 699.71/x
  3. Step 3: Cross multiply
    1,162.19x = 1,740.95 × 699.71
  4. Step 4: Simplify right side
    1,162.19x = 1,218,147.92
  5. Step 5: Solve for x
    x = 1,218,147.92/1,162.19
  6. Step 6: Final answer
    x = 1,048.15

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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.