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Finding the Fourth Proportional to 1,161.76, 1,742.88 and 999.04

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Solution

The fourth proportional to 1,161.76, 1,742.88 and 999.04 is: 1,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.76 : 1,742.88 = 999.04 : x
  2. Step 2: Convert to fraction form
    1,161.76/1,742.88 = 999.04/x
  3. Step 3: Cross multiply
    1,161.76x = 1,742.88 × 999.04
  4. Step 4: Simplify right side
    1,161.76x = 1,741,206.84
  5. Step 5: Solve for x
    x = 1,741,206.84/1,161.76
  6. Step 6: Final answer
    x = 1,498.77

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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.