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Finding the Fourth Proportional to 1,705.87, 2,556.68 and 730.84

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Solution

The fourth proportional to 1,705.87, 2,556.68 and 730.84 is: 1,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.87 : 2,556.68 = 730.84 : x
  2. Step 2: Convert to fraction form
    1,705.87/2,556.68 = 730.84/x
  3. Step 3: Cross multiply
    1,705.87x = 2,556.68 × 730.84
  4. Step 4: Simplify right side
    1,705.87x = 1,868,520.36
  5. Step 5: Solve for x
    x = 1,868,520.36/1,705.87
  6. Step 6: Final answer
    x = 1,095.35

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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.