Home / 1,273.12-1,909.68-407.52

Finding the Fourth Proportional to 1,273.12, 1,909.68 and 407.52

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Solution

The fourth proportional to 1,273.12, 1,909.68 and 407.52 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.12 : 1,909.68 = 407.52 : x
  2. Step 2: Convert to fraction form
    1,273.12/1,909.68 = 407.52/x
  3. Step 3: Cross multiply
    1,273.12x = 1,909.68 × 407.52
  4. Step 4: Simplify right side
    1,273.12x = 778,232.79
  5. Step 5: Solve for x
    x = 778,232.79/1,273.12
  6. Step 6: Final answer
    x = 611.28

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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.