Home / 1,586.18-2,379.77-764.51

Finding the Fourth Proportional to 1,586.18, 2,379.77 and 764.51

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Solution

The fourth proportional to 1,586.18, 2,379.77 and 764.51 is: 1,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.18 : 2,379.77 = 764.51 : x
  2. Step 2: Convert to fraction form
    1,586.18/2,379.77 = 764.51/x
  3. Step 3: Cross multiply
    1,586.18x = 2,379.77 × 764.51
  4. Step 4: Simplify right side
    1,586.18x = 1,819,347.98
  5. Step 5: Solve for x
    x = 1,819,347.98/1,586.18
  6. Step 6: Final answer
    x = 1,147.00

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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.