Home / 850.10-1,274.28-410.72

Finding the Fourth Proportional to 850.10, 1,274.28 and 410.72

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Solution

The fourth proportional to 850.10, 1,274.28 and 410.72 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.10 : 1,274.28 = 410.72 : x
  2. Step 2: Convert to fraction form
    850.10/1,274.28 = 410.72/x
  3. Step 3: Cross multiply
    850.10x = 1,274.28 × 410.72
  4. Step 4: Simplify right side
    850.10x = 523,372.28
  5. Step 5: Solve for x
    x = 523,372.28/850.10
  6. Step 6: Final answer
    x = 615.66

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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.