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Finding the Fourth Proportional to 800.31, 1,101.84 and 623.05

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Solution

The fourth proportional to 800.31, 1,101.84 and 623.05 is: 857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.31 : 1,101.84 = 623.05 : x
  2. Step 2: Convert to fraction form
    800.31/1,101.84 = 623.05/x
  3. Step 3: Cross multiply
    800.31x = 1,101.84 × 623.05
  4. Step 4: Simplify right side
    800.31x = 686,501.41
  5. Step 5: Solve for x
    x = 686,501.41/800.31
  6. Step 6: Final answer
    x = 857.79

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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.