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Finding the Fourth Proportional to 1,283.25, 1,925.51 and 763.23

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Solution

The fourth proportional to 1,283.25, 1,925.51 and 763.23 is: 1,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.25 : 1,925.51 = 763.23 : x
  2. Step 2: Convert to fraction form
    1,283.25/1,925.51 = 763.23/x
  3. Step 3: Cross multiply
    1,283.25x = 1,925.51 × 763.23
  4. Step 4: Simplify right side
    1,283.25x = 1,469,607.00
  5. Step 5: Solve for x
    x = 1,469,607.00/1,283.25
  6. Step 6: Final answer
    x = 1,145.22

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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.