Home / 1,619.80-2,429.69-509.30

Finding the Fourth Proportional to 1,619.80, 2,429.69 and 509.30

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Solution

The fourth proportional to 1,619.80, 2,429.69 and 509.30 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.80 : 2,429.69 = 509.30 : x
  2. Step 2: Convert to fraction form
    1,619.80/2,429.69 = 509.30/x
  3. Step 3: Cross multiply
    1,619.80x = 2,429.69 × 509.30
  4. Step 4: Simplify right side
    1,619.80x = 1,237,426.42
  5. Step 5: Solve for x
    x = 1,237,426.42/1,619.80
  6. Step 6: Final answer
    x = 763.94

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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.