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Finding the Fourth Proportional to 809.83, 1,118.10 and 722.35

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Solution

The fourth proportional to 809.83, 1,118.10 and 722.35 is: 997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.83 : 1,118.10 = 722.35 : x
  2. Step 2: Convert to fraction form
    809.83/1,118.10 = 722.35/x
  3. Step 3: Cross multiply
    809.83x = 1,118.10 × 722.35
  4. Step 4: Simplify right side
    809.83x = 807,659.54
  5. Step 5: Solve for x
    x = 807,659.54/809.83
  6. Step 6: Final answer
    x = 997.32

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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.