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Finding the Fourth Proportional to 1,161.81, 1,740.24 and 836.19

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Solution

The fourth proportional to 1,161.81, 1,740.24 and 836.19 is: 1,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.81 : 1,740.24 = 836.19 : x
  2. Step 2: Convert to fraction form
    1,161.81/1,740.24 = 836.19/x
  3. Step 3: Cross multiply
    1,161.81x = 1,740.24 × 836.19
  4. Step 4: Simplify right side
    1,161.81x = 1,455,171.29
  5. Step 5: Solve for x
    x = 1,455,171.29/1,161.81
  6. Step 6: Final answer
    x = 1,252.50

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1.5x scale

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.