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Finding the Fourth Proportional to 809.24, 1,118.82 and 623.34

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Solution

The fourth proportional to 809.24, 1,118.82 and 623.34 is: 861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.24 : 1,118.82 = 623.34 : x
  2. Step 2: Convert to fraction form
    809.24/1,118.82 = 623.34/x
  3. Step 3: Cross multiply
    809.24x = 1,118.82 × 623.34
  4. Step 4: Simplify right side
    809.24x = 697,405.26
  5. Step 5: Solve for x
    x = 697,405.26/809.24
  6. Step 6: Final answer
    x = 861.80

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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.