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Finding the Fourth Proportional to 1,285.09, 1,927.98 and 764.77

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Solution

The fourth proportional to 1,285.09, 1,927.98 and 764.77 is: 1,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.09 : 1,927.98 = 764.77 : x
  2. Step 2: Convert to fraction form
    1,285.09/1,927.98 = 764.77/x
  3. Step 3: Cross multiply
    1,285.09x = 1,927.98 × 764.77
  4. Step 4: Simplify right side
    1,285.09x = 1,474,452.49
  5. Step 5: Solve for x
    x = 1,474,452.49/1,285.09
  6. Step 6: Final answer
    x = 1,147.35

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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.