Home / 1,340.47-2,010.20-462.80

Finding the Fourth Proportional to 1,340.47, 2,010.20 and 462.80

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Solution

The fourth proportional to 1,340.47, 2,010.20 and 462.80 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.47 : 2,010.20 = 462.80 : x
  2. Step 2: Convert to fraction form
    1,340.47/2,010.20 = 462.80/x
  3. Step 3: Cross multiply
    1,340.47x = 2,010.20 × 462.80
  4. Step 4: Simplify right side
    1,340.47x = 930,326.74
  5. Step 5: Solve for x
    x = 930,326.74/1,340.47
  6. Step 6: Final answer
    x = 694.03

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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.