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Finding the Fourth Proportional to 1,323.47, 1,826.22 and 763.94

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Solution

The fourth proportional to 1,323.47, 1,826.22 and 763.94 is: 1,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.47 : 1,826.22 = 763.94 : x
  2. Step 2: Convert to fraction form
    1,323.47/1,826.22 = 763.94/x
  3. Step 3: Cross multiply
    1,323.47x = 1,826.22 × 763.94
  4. Step 4: Simplify right side
    1,323.47x = 1,395,129.94
  5. Step 5: Solve for x
    x = 1,395,129.94/1,323.47
  6. Step 6: Final answer
    x = 1,054.14

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1.5x scale

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.