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Finding the Fourth Proportional to 1,705.80, 2,352.78 and 1,200.84

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Solution

The fourth proportional to 1,705.80, 2,352.78 and 1,200.84 is: 1,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.80 : 2,352.78 = 1,200.84 : x
  2. Step 2: Convert to fraction form
    1,705.80/2,352.78 = 1,200.84/x
  3. Step 3: Cross multiply
    1,705.80x = 2,352.78 × 1,200.84
  4. Step 4: Simplify right side
    1,705.80x = 2,825,312.34
  5. Step 5: Solve for x
    x = 2,825,312.34/1,705.80
  6. Step 6: Final answer
    x = 1,656.30

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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.