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Finding the Fourth Proportional to 1,323.10, 1,825.80 and 763.50

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Solution

The fourth proportional to 1,323.10, 1,825.80 and 763.50 is: 1,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.10 : 1,825.80 = 763.50 : x
  2. Step 2: Convert to fraction form
    1,323.10/1,825.80 = 763.50/x
  3. Step 3: Cross multiply
    1,323.10x = 1,825.80 × 763.50
  4. Step 4: Simplify right side
    1,323.10x = 1,393,998.30
  5. Step 5: Solve for x
    x = 1,393,998.30/1,323.10
  6. Step 6: Final answer
    x = 1,053.58

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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.