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Finding the Fourth Proportional to 1,393.02, 1,922.13 and 803.44

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Solution

The fourth proportional to 1,393.02, 1,922.13 and 803.44 is: 1,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.02 : 1,922.13 = 803.44 : x
  2. Step 2: Convert to fraction form
    1,393.02/1,922.13 = 803.44/x
  3. Step 3: Cross multiply
    1,393.02x = 1,922.13 × 803.44
  4. Step 4: Simplify right side
    1,393.02x = 1,544,316.13
  5. Step 5: Solve for x
    x = 1,544,316.13/1,393.02
  6. Step 6: Final answer
    x = 1,108.61

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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.