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Finding the Fourth Proportional to 1,762.80, 2,642.55 and 667.90

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Solution

The fourth proportional to 1,762.80, 2,642.55 and 667.90 is: 1,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.80 : 2,642.55 = 667.90 : x
  2. Step 2: Convert to fraction form
    1,762.80/2,642.55 = 667.90/x
  3. Step 3: Cross multiply
    1,762.80x = 2,642.55 × 667.90
  4. Step 4: Simplify right side
    1,762.80x = 1,764,959.15
  5. Step 5: Solve for x
    x = 1,764,959.15/1,762.80
  6. Step 6: Final answer
    x = 1,001.22

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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.