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Finding the Fourth Proportional to 2,257.59, 3,386.81 and 776.95

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Solution

The fourth proportional to 2,257.59, 3,386.81 and 776.95 is: 1,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.59 : 3,386.81 = 776.95 : x
  2. Step 2: Convert to fraction form
    2,257.59/3,386.81 = 776.95/x
  3. Step 3: Cross multiply
    2,257.59x = 3,386.81 × 776.95
  4. Step 4: Simplify right side
    2,257.59x = 2,631,382.03
  5. Step 5: Solve for x
    x = 2,631,382.03/2,257.59
  6. Step 6: Final answer
    x = 1,165.57

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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.