Home / 1,511.71-2,267.61-416.15

Finding the Fourth Proportional to 1,511.71, 2,267.61 and 416.15

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Solution

The fourth proportional to 1,511.71, 2,267.61 and 416.15 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.71 : 2,267.61 = 416.15 : x
  2. Step 2: Convert to fraction form
    1,511.71/2,267.61 = 416.15/x
  3. Step 3: Cross multiply
    1,511.71x = 2,267.61 × 416.15
  4. Step 4: Simplify right side
    1,511.71x = 943,671.57
  5. Step 5: Solve for x
    x = 943,671.57/1,511.71
  6. Step 6: Final answer
    x = 624.24

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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.