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Finding the Fourth Proportional to 809.03, 1,211.74 and 703.56

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Solution

The fourth proportional to 809.03, 1,211.74 and 703.56 is: 1,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.03 : 1,211.74 = 703.56 : x
  2. Step 2: Convert to fraction form
    809.03/1,211.74 = 703.56/x
  3. Step 3: Cross multiply
    809.03x = 1,211.74 × 703.56
  4. Step 4: Simplify right side
    809.03x = 852,528.28
  5. Step 5: Solve for x
    x = 852,528.28/809.03
  6. Step 6: Final answer
    x = 1,053.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.