Home / 1,342.21-2,012.75-509.13

Finding the Fourth Proportional to 1,342.21, 2,012.75 and 509.13

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Solution

The fourth proportional to 1,342.21, 2,012.75 and 509.13 is: 763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.21 : 2,012.75 = 509.13 : x
  2. Step 2: Convert to fraction form
    1,342.21/2,012.75 = 509.13/x
  3. Step 3: Cross multiply
    1,342.21x = 2,012.75 × 509.13
  4. Step 4: Simplify right side
    1,342.21x = 1,024,751.41
  5. Step 5: Solve for x
    x = 1,024,751.41/1,342.21
  6. Step 6: Final answer
    x = 763.48

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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.