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Finding the Fourth Proportional to 1,412.64, 2,119.62 and 632.57

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Solution

The fourth proportional to 1,412.64, 2,119.62 and 632.57 is: 949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.64 : 2,119.62 = 632.57 : x
  2. Step 2: Convert to fraction form
    1,412.64/2,119.62 = 632.57/x
  3. Step 3: Cross multiply
    1,412.64x = 2,119.62 × 632.57
  4. Step 4: Simplify right side
    1,412.64x = 1,340,797.43
  5. Step 5: Solve for x
    x = 1,340,797.43/1,412.64
  6. Step 6: Final answer
    x = 949.14

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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.