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Finding the Fourth Proportional to 1,780.01, 2,668.46 and 685.16

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Solution

The fourth proportional to 1,780.01, 2,668.46 and 685.16 is: 1,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.01 : 2,668.46 = 685.16 : x
  2. Step 2: Convert to fraction form
    1,780.01/2,668.46 = 685.16/x
  3. Step 3: Cross multiply
    1,780.01x = 2,668.46 × 685.16
  4. Step 4: Simplify right side
    1,780.01x = 1,828,305.29
  5. Step 5: Solve for x
    x = 1,828,305.29/1,780.01
  6. Step 6: Final answer
    x = 1,027.13

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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.