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Finding the Fourth Proportional to 1,585.99, 2,377.84 and 764.92

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Solution

The fourth proportional to 1,585.99, 2,377.84 and 764.92 is: 1,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.99 : 2,377.84 = 764.92 : x
  2. Step 2: Convert to fraction form
    1,585.99/2,377.84 = 764.92/x
  3. Step 3: Cross multiply
    1,585.99x = 2,377.84 × 764.92
  4. Step 4: Simplify right side
    1,585.99x = 1,818,857.37
  5. Step 5: Solve for x
    x = 1,818,857.37/1,585.99
  6. Step 6: Final answer
    x = 1,146.83

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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.