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Finding the Fourth Proportional to 1,703.58, 2,550.90 and 1,116.74

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Solution

The fourth proportional to 1,703.58, 2,550.90 and 1,116.74 is: 1,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.58 : 2,550.90 = 1,116.74 : x
  2. Step 2: Convert to fraction form
    1,703.58/2,550.90 = 1,116.74/x
  3. Step 3: Cross multiply
    1,703.58x = 2,550.90 × 1,116.74
  4. Step 4: Simplify right side
    1,703.58x = 2,848,679.31
  5. Step 5: Solve for x
    x = 2,848,679.31/1,703.58
  6. Step 6: Final answer
    x = 1,672.17

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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.