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Finding the Fourth Proportional to 1,803.32, 2,705.01 and 708.20

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Solution

The fourth proportional to 1,803.32, 2,705.01 and 708.20 is: 1,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.32 : 2,705.01 = 708.20 : x
  2. Step 2: Convert to fraction form
    1,803.32/2,705.01 = 708.20/x
  3. Step 3: Cross multiply
    1,803.32x = 2,705.01 × 708.20
  4. Step 4: Simplify right side
    1,803.32x = 1,915,684.54
  5. Step 5: Solve for x
    x = 1,915,684.54/1,803.32
  6. Step 6: Final answer
    x = 1,062.31

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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.