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Finding the Fourth Proportional to 1,707, 2,355.66 and 1,043.75

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Solution

The fourth proportional to 1,707, 2,355.66 and 1,043.75 is: 1,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707 : 2,355.66 = 1,043.75 : x
  2. Step 2: Convert to fraction form
    1,707/2,355.66 = 1,043.75/x
  3. Step 3: Cross multiply
    1,707x = 2,355.66 × 1,043.75
  4. Step 4: Simplify right side
    1,707x = 2,458,708.35
  5. Step 5: Solve for x
    x = 2,458,708.35/1,707
  6. Step 6: Final answer
    x = 1,440.37

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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.