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Finding the Fourth Proportional to 1,669.70, 2,505 and 695.57

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Solution

The fourth proportional to 1,669.70, 2,505 and 695.57 is: 1,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.70 : 2,505 = 695.57 : x
  2. Step 2: Convert to fraction form
    1,669.70/2,505 = 695.57/x
  3. Step 3: Cross multiply
    1,669.70x = 2,505 × 695.57
  4. Step 4: Simplify right side
    1,669.70x = 1,742,402.85
  5. Step 5: Solve for x
    x = 1,742,402.85/1,669.70
  6. Step 6: Final answer
    x = 1,043.54

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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.