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Finding the Fourth Proportional to 1,393.23, 1,922.84 and 803.78

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Solution

The fourth proportional to 1,393.23, 1,922.84 and 803.78 is: 1,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.23 : 1,922.84 = 803.78 : x
  2. Step 2: Convert to fraction form
    1,393.23/1,922.84 = 803.78/x
  3. Step 3: Cross multiply
    1,393.23x = 1,922.84 × 803.78
  4. Step 4: Simplify right side
    1,393.23x = 1,545,526.70
  5. Step 5: Solve for x
    x = 1,545,526.70/1,393.23
  6. Step 6: Final answer
    x = 1,109.31

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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.