Home / 1,209.04-1,814.24-515.63

Finding the Fourth Proportional to 1,209.04, 1,814.24 and 515.63

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Solution

The fourth proportional to 1,209.04, 1,814.24 and 515.63 is: 773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.04 : 1,814.24 = 515.63 : x
  2. Step 2: Convert to fraction form
    1,209.04/1,814.24 = 515.63/x
  3. Step 3: Cross multiply
    1,209.04x = 1,814.24 × 515.63
  4. Step 4: Simplify right side
    1,209.04x = 935,473.99
  5. Step 5: Solve for x
    x = 935,473.99/1,209.04
  6. Step 6: Final answer
    x = 773.74

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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.