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Finding the Fourth Proportional to 851.20, 1,173.92 and 664.40

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Solution

The fourth proportional to 851.20, 1,173.92 and 664.40 is: 916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.20 : 1,173.92 = 664.40 : x
  2. Step 2: Convert to fraction form
    851.20/1,173.92 = 664.40/x
  3. Step 3: Cross multiply
    851.20x = 1,173.92 × 664.40
  4. Step 4: Simplify right side
    851.20x = 779,952.45
  5. Step 5: Solve for x
    x = 779,952.45/851.20
  6. Step 6: Final answer
    x = 916.30

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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.