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Finding the Fourth Proportional to 842.72, 1,163.00 and 469.76

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Solution

The fourth proportional to 842.72, 1,163.00 and 469.76 is: 648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.72 : 1,163.00 = 469.76 : x
  2. Step 2: Convert to fraction form
    842.72/1,163.00 = 469.76/x
  3. Step 3: Cross multiply
    842.72x = 1,163.00 × 469.76
  4. Step 4: Simplify right side
    842.72x = 546,326.24
  5. Step 5: Solve for x
    x = 546,326.24/842.72
  6. Step 6: Final answer
    x = 648.29

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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.