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Finding the Fourth Proportional to 842.58, 1,163.96 and 666.72

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Solution

The fourth proportional to 842.58, 1,163.96 and 666.72 is: 921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.58 : 1,163.96 = 666.72 : x
  2. Step 2: Convert to fraction form
    842.58/1,163.96 = 666.72/x
  3. Step 3: Cross multiply
    842.58x = 1,163.96 × 666.72
  4. Step 4: Simplify right side
    842.58x = 776,032.08
  5. Step 5: Solve for x
    x = 776,032.08/842.58
  6. Step 6: Final answer
    x = 921.02

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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.