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Finding the Fourth Proportional to 1,707.75, 2,561.40 and 667.03

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Solution

The fourth proportional to 1,707.75, 2,561.40 and 667.03 is: 1,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.75 : 2,561.40 = 667.03 : x
  2. Step 2: Convert to fraction form
    1,707.75/2,561.40 = 667.03/x
  3. Step 3: Cross multiply
    1,707.75x = 2,561.40 × 667.03
  4. Step 4: Simplify right side
    1,707.75x = 1,708,521.74
  5. Step 5: Solve for x
    x = 1,708,521.74/1,707.75
  6. Step 6: Final answer
    x = 1,000.45

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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.