Home / 1,371.09-2,056.23-493.47

Finding the Fourth Proportional to 1,371.09, 2,056.23 and 493.47

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Solution

The fourth proportional to 1,371.09, 2,056.23 and 493.47 is: 740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.09 : 2,056.23 = 493.47 : x
  2. Step 2: Convert to fraction form
    1,371.09/2,056.23 = 493.47/x
  3. Step 3: Cross multiply
    1,371.09x = 2,056.23 × 493.47
  4. Step 4: Simplify right side
    1,371.09x = 1,014,687.82
  5. Step 5: Solve for x
    x = 1,014,687.82/1,371.09
  6. Step 6: Final answer
    x = 740.06

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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.