Home / 1,463.10-2,194.70-538.20

Finding the Fourth Proportional to 1,463.10, 2,194.70 and 538.20

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Solution

The fourth proportional to 1,463.10, 2,194.70 and 538.20 is: 807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.10 : 2,194.70 = 538.20 : x
  2. Step 2: Convert to fraction form
    1,463.10/2,194.70 = 538.20/x
  3. Step 3: Cross multiply
    1,463.10x = 2,194.70 × 538.20
  4. Step 4: Simplify right side
    1,463.10x = 1,181,187.54
  5. Step 5: Solve for x
    x = 1,181,187.54/1,463.10
  6. Step 6: Final answer
    x = 807.32

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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.