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Finding the Fourth Proportional to 947.58, 1,422.69 and 485.68

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Solution

The fourth proportional to 947.58, 1,422.69 and 485.68 is: 729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.58 : 1,422.69 = 485.68 : x
  2. Step 2: Convert to fraction form
    947.58/1,422.69 = 485.68/x
  3. Step 3: Cross multiply
    947.58x = 1,422.69 × 485.68
  4. Step 4: Simplify right side
    947.58x = 690,967.92
  5. Step 5: Solve for x
    x = 690,967.92/947.58
  6. Step 6: Final answer
    x = 729.19

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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.