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Finding the Fourth Proportional to 947.18, 1,422.08 and 485.32

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Solution

The fourth proportional to 947.18, 1,422.08 and 485.32 is: 728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.18 : 1,422.08 = 485.32 : x
  2. Step 2: Convert to fraction form
    947.18/1,422.08 = 485.32/x
  3. Step 3: Cross multiply
    947.18x = 1,422.08 × 485.32
  4. Step 4: Simplify right side
    947.18x = 690,163.87
  5. Step 5: Solve for x
    x = 690,163.87/947.18
  6. Step 6: Final answer
    x = 728.65

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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.