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Finding the Fourth Proportional to 851.32, 1,174.94 and 557.44

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Solution

The fourth proportional to 851.32, 1,174.94 and 557.44 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.32 : 1,174.94 = 557.44 : x
  2. Step 2: Convert to fraction form
    851.32/1,174.94 = 557.44/x
  3. Step 3: Cross multiply
    851.32x = 1,174.94 × 557.44
  4. Step 4: Simplify right side
    851.32x = 654,958.55
  5. Step 5: Solve for x
    x = 654,958.55/851.32
  6. Step 6: Final answer
    x = 769.34

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1.5x scale

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.