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Finding the Fourth Proportional to 1,393.19, 1,922.63 and 763.73

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Solution

The fourth proportional to 1,393.19, 1,922.63 and 763.73 is: 1,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.19 : 1,922.63 = 763.73 : x
  2. Step 2: Convert to fraction form
    1,393.19/1,922.63 = 763.73/x
  3. Step 3: Cross multiply
    1,393.19x = 1,922.63 × 763.73
  4. Step 4: Simplify right side
    1,393.19x = 1,468,356.78
  5. Step 5: Solve for x
    x = 1,468,356.78/1,393.19
  6. Step 6: Final answer
    x = 1,053.96

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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.