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Finding the Fourth Proportional to 1,780.38, 2,668.95 and 685.46

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Solution

The fourth proportional to 1,780.38, 2,668.95 and 685.46 is: 1,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.38 : 2,668.95 = 685.46 : x
  2. Step 2: Convert to fraction form
    1,780.38/2,668.95 = 685.46/x
  3. Step 3: Cross multiply
    1,780.38x = 2,668.95 × 685.46
  4. Step 4: Simplify right side
    1,780.38x = 1,829,465.14
  5. Step 5: Solve for x
    x = 1,829,465.14/1,780.38
  6. Step 6: Final answer
    x = 1,027.57

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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.