Home / 1,508.08-2,262.24-777.20

Finding the Fourth Proportional to 1,508.08, 2,262.24 and 777.20

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Solution

The fourth proportional to 1,508.08, 2,262.24 and 777.20 is: 1,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.08 : 2,262.24 = 777.20 : x
  2. Step 2: Convert to fraction form
    1,508.08/2,262.24 = 777.20/x
  3. Step 3: Cross multiply
    1,508.08x = 2,262.24 × 777.20
  4. Step 4: Simplify right side
    1,508.08x = 1,758,212.93
  5. Step 5: Solve for x
    x = 1,758,212.93/1,508.08
  6. Step 6: Final answer
    x = 1,165.86

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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.