Home / 1,343.12-2,014.70-477.41

Finding the Fourth Proportional to 1,343.12, 2,014.70 and 477.41

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Solution

The fourth proportional to 1,343.12, 2,014.70 and 477.41 is: 716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.12 : 2,014.70 = 477.41 : x
  2. Step 2: Convert to fraction form
    1,343.12/2,014.70 = 477.41/x
  3. Step 3: Cross multiply
    1,343.12x = 2,014.70 × 477.41
  4. Step 4: Simplify right side
    1,343.12x = 961,825.47
  5. Step 5: Solve for x
    x = 961,825.47/1,343.12
  6. Step 6: Final answer
    x = 716.12

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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.