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Finding the Fourth Proportional to 1,687.45, 2,327.75 and 988.69

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Solution

The fourth proportional to 1,687.45, 2,327.75 and 988.69 is: 1,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.45 : 2,327.75 = 988.69 : x
  2. Step 2: Convert to fraction form
    1,687.45/2,327.75 = 988.69/x
  3. Step 3: Cross multiply
    1,687.45x = 2,327.75 × 988.69
  4. Step 4: Simplify right side
    1,687.45x = 2,301,418.20
  5. Step 5: Solve for x
    x = 2,301,418.20/1,687.45
  6. Step 6: Final answer
    x = 1,363.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.