Home / 1,064.22-1,596.20-284.28

Finding the Fourth Proportional to 1,064.22, 1,596.20 and 284.28

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Solution

The fourth proportional to 1,064.22, 1,596.20 and 284.28 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.22 : 1,596.20 = 284.28 : x
  2. Step 2: Convert to fraction form
    1,064.22/1,596.20 = 284.28/x
  3. Step 3: Cross multiply
    1,064.22x = 1,596.20 × 284.28
  4. Step 4: Simplify right side
    1,064.22x = 453,760.33
  5. Step 5: Solve for x
    x = 453,760.33/1,064.22
  6. Step 6: Final answer
    x = 426.38

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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.