Home / 1,463.12-2,194.64-423.08

Finding the Fourth Proportional to 1,463.12, 2,194.64 and 423.08

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Solution

The fourth proportional to 1,463.12, 2,194.64 and 423.08 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.12 : 2,194.64 = 423.08 : x
  2. Step 2: Convert to fraction form
    1,463.12/2,194.64 = 423.08/x
  3. Step 3: Cross multiply
    1,463.12x = 2,194.64 × 423.08
  4. Step 4: Simplify right side
    1,463.12x = 928,498.38
  5. Step 5: Solve for x
    x = 928,498.38/1,463.12
  6. Step 6: Final answer
    x = 634.60

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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.