Home / 1,511.17-2,267.88-780.64

Finding the Fourth Proportional to 1,511.17, 2,267.88 and 780.64

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Solution

The fourth proportional to 1,511.17, 2,267.88 and 780.64 is: 1,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.17 : 2,267.88 = 780.64 : x
  2. Step 2: Convert to fraction form
    1,511.17/2,267.88 = 780.64/x
  3. Step 3: Cross multiply
    1,511.17x = 2,267.88 × 780.64
  4. Step 4: Simplify right side
    1,511.17x = 1,770,397.84
  5. Step 5: Solve for x
    x = 1,770,397.84/1,511.17
  6. Step 6: Final answer
    x = 1,171.54

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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.