Home / 1,209.02-1,814.35-439.52

Finding the Fourth Proportional to 1,209.02, 1,814.35 and 439.52

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Solution

The fourth proportional to 1,209.02, 1,814.35 and 439.52 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.02 : 1,814.35 = 439.52 : x
  2. Step 2: Convert to fraction form
    1,209.02/1,814.35 = 439.52/x
  3. Step 3: Cross multiply
    1,209.02x = 1,814.35 × 439.52
  4. Step 4: Simplify right side
    1,209.02x = 797,449.13
  5. Step 5: Solve for x
    x = 797,449.13/1,209.02
  6. Step 6: Final answer
    x = 659.58

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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.