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Finding the Fourth Proportional to 1,669.18, 2,503.86 and 695.38

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Solution

The fourth proportional to 1,669.18, 2,503.86 and 695.38 is: 1,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.18 : 2,503.86 = 695.38 : x
  2. Step 2: Convert to fraction form
    1,669.18/2,503.86 = 695.38/x
  3. Step 3: Cross multiply
    1,669.18x = 2,503.86 × 695.38
  4. Step 4: Simplify right side
    1,669.18x = 1,741,134.17
  5. Step 5: Solve for x
    x = 1,741,134.17/1,669.18
  6. Step 6: Final answer
    x = 1,043.11

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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.