Home / 1,064.20-1,596.28-414.56

Finding the Fourth Proportional to 1,064.20, 1,596.28 and 414.56

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Solution

The fourth proportional to 1,064.20, 1,596.28 and 414.56 is: 621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.20 : 1,596.28 = 414.56 : x
  2. Step 2: Convert to fraction form
    1,064.20/1,596.28 = 414.56/x
  3. Step 3: Cross multiply
    1,064.20x = 1,596.28 × 414.56
  4. Step 4: Simplify right side
    1,064.20x = 661,753.84
  5. Step 5: Solve for x
    x = 661,753.84/1,064.20
  6. Step 6: Final answer
    x = 621.83

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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.