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Finding the Fourth Proportional to 1,393.15, 1,922.50 and 763.66

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Solution

The fourth proportional to 1,393.15, 1,922.50 and 763.66 is: 1,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.15 : 1,922.50 = 763.66 : x
  2. Step 2: Convert to fraction form
    1,393.15/1,922.50 = 763.66/x
  3. Step 3: Cross multiply
    1,393.15x = 1,922.50 × 763.66
  4. Step 4: Simplify right side
    1,393.15x = 1,468,136.35
  5. Step 5: Solve for x
    x = 1,468,136.35/1,393.15
  6. Step 6: Final answer
    x = 1,053.83

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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.