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Finding the Fourth Proportional to 851.16, 1,269.87 and 758.82

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Solution

The fourth proportional to 851.16, 1,269.87 and 758.82 is: 1,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.16 : 1,269.87 = 758.82 : x
  2. Step 2: Convert to fraction form
    851.16/1,269.87 = 758.82/x
  3. Step 3: Cross multiply
    851.16x = 1,269.87 × 758.82
  4. Step 4: Simplify right side
    851.16x = 963,602.75
  5. Step 5: Solve for x
    x = 963,602.75/851.16
  6. Step 6: Final answer
    x = 1,132.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.