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Finding the Fourth Proportional to 1,280.71, 1,766.22 and 926.51

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Solution

The fourth proportional to 1,280.71, 1,766.22 and 926.51 is: 1,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.71 : 1,766.22 = 926.51 : x
  2. Step 2: Convert to fraction form
    1,280.71/1,766.22 = 926.51/x
  3. Step 3: Cross multiply
    1,280.71x = 1,766.22 × 926.51
  4. Step 4: Simplify right side
    1,280.71x = 1,636,420.49
  5. Step 5: Solve for x
    x = 1,636,420.49/1,280.71
  6. Step 6: Final answer
    x = 1,277.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.