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Finding the Fourth Proportional to 1,902.65, 2,853.50 and 669.74

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Solution

The fourth proportional to 1,902.65, 2,853.50 and 669.74 is: 1,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.65 : 2,853.50 = 669.74 : x
  2. Step 2: Convert to fraction form
    1,902.65/2,853.50 = 669.74/x
  3. Step 3: Cross multiply
    1,902.65x = 2,853.50 × 669.74
  4. Step 4: Simplify right side
    1,902.65x = 1,911,085.47
  5. Step 5: Solve for x
    x = 1,911,085.47/1,902.65
  6. Step 6: Final answer
    x = 1,004.44

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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.