Home / 1,568.85-2,353.20-414.60

Finding the Fourth Proportional to 1,568.85, 2,353.20 and 414.60

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Solution

The fourth proportional to 1,568.85, 2,353.20 and 414.60 is: 621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.85 : 2,353.20 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,568.85/2,353.20 = 414.60/x
  3. Step 3: Cross multiply
    1,568.85x = 2,353.20 × 414.60
  4. Step 4: Simplify right side
    1,568.85x = 975,636.72
  5. Step 5: Solve for x
    x = 975,636.72/1,568.85
  6. Step 6: Final answer
    x = 621.88

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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.