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Finding the Fourth Proportional to 1,687.74, 2,531.21 and 647.88

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Solution

The fourth proportional to 1,687.74, 2,531.21 and 647.88 is: 971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.74 : 2,531.21 = 647.88 : x
  2. Step 2: Convert to fraction form
    1,687.74/2,531.21 = 647.88/x
  3. Step 3: Cross multiply
    1,687.74x = 2,531.21 × 647.88
  4. Step 4: Simplify right side
    1,687.74x = 1,639,920.33
  5. Step 5: Solve for x
    x = 1,639,920.33/1,687.74
  6. Step 6: Final answer
    x = 971.67

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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.