Home / 1,511.48-2,262.35-780.05

Finding the Fourth Proportional to 1,511.48, 2,262.35 and 780.05

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Solution

The fourth proportional to 1,511.48, 2,262.35 and 780.05 is: 1,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.48 : 2,262.35 = 780.05 : x
  2. Step 2: Convert to fraction form
    1,511.48/2,262.35 = 780.05/x
  3. Step 3: Cross multiply
    1,511.48x = 2,262.35 × 780.05
  4. Step 4: Simplify right side
    1,511.48x = 1,764,746.12
  5. Step 5: Solve for x
    x = 1,764,746.12/1,511.48
  6. Step 6: Final answer
    x = 1,167.56

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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.