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Finding the Fourth Proportional to 2,668.01, 4,001.47 and 719.75

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Solution

The fourth proportional to 2,668.01, 4,001.47 and 719.75 is: 1,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.01 : 4,001.47 = 719.75 : x
  2. Step 2: Convert to fraction form
    2,668.01/4,001.47 = 719.75/x
  3. Step 3: Cross multiply
    2,668.01x = 4,001.47 × 719.75
  4. Step 4: Simplify right side
    2,668.01x = 2,880,066.24
  5. Step 5: Solve for x
    x = 2,880,066.24/2,668.01
  6. Step 6: Final answer
    x = 1,079.48

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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.