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Finding the Fourth Proportional to 1,161.16, 1,742.31 and 544.91

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Solution

The fourth proportional to 1,161.16, 1,742.31 and 544.91 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.16 : 1,742.31 = 544.91 : x
  2. Step 2: Convert to fraction form
    1,161.16/1,742.31 = 544.91/x
  3. Step 3: Cross multiply
    1,161.16x = 1,742.31 × 544.91
  4. Step 4: Simplify right side
    1,161.16x = 949,403.77
  5. Step 5: Solve for x
    x = 949,403.77/1,161.16
  6. Step 6: Final answer
    x = 817.64

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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.