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Finding the Fourth Proportional to 1,707.74, 2,562.36 and 668.06

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Solution

The fourth proportional to 1,707.74, 2,562.36 and 668.06 is: 1,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.74 : 2,562.36 = 668.06 : x
  2. Step 2: Convert to fraction form
    1,707.74/2,562.36 = 668.06/x
  3. Step 3: Cross multiply
    1,707.74x = 2,562.36 × 668.06
  4. Step 4: Simplify right side
    1,707.74x = 1,711,810.22
  5. Step 5: Solve for x
    x = 1,711,810.22/1,707.74
  6. Step 6: Final answer
    x = 1,002.38

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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.