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Finding the Fourth Proportional to 1,627.64, 2,246.20 and 929

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Solution

The fourth proportional to 1,627.64, 2,246.20 and 929 is: 1,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.64 : 2,246.20 = 929 : x
  2. Step 2: Convert to fraction form
    1,627.64/2,246.20 = 929/x
  3. Step 3: Cross multiply
    1,627.64x = 2,246.20 × 929
  4. Step 4: Simplify right side
    1,627.64x = 2,086,719.80
  5. Step 5: Solve for x
    x = 2,086,719.80/1,627.64
  6. Step 6: Final answer
    x = 1,282.05

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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.