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Finding the Fourth Proportional to 1,618.25, 2,232.63 and 988.55

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Solution

The fourth proportional to 1,618.25, 2,232.63 and 988.55 is: 1,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.25 : 2,232.63 = 988.55 : x
  2. Step 2: Convert to fraction form
    1,618.25/2,232.63 = 988.55/x
  3. Step 3: Cross multiply
    1,618.25x = 2,232.63 × 988.55
  4. Step 4: Simplify right side
    1,618.25x = 2,207,066.39
  5. Step 5: Solve for x
    x = 2,207,066.39/1,618.25
  6. Step 6: Final answer
    x = 1,363.86

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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.