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Finding the Fourth Proportional to 850.59, 1,275.03 and 411.21

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Solution

The fourth proportional to 850.59, 1,275.03 and 411.21 is: 616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.59 : 1,275.03 = 411.21 : x
  2. Step 2: Convert to fraction form
    850.59/1,275.03 = 411.21/x
  3. Step 3: Cross multiply
    850.59x = 1,275.03 × 411.21
  4. Step 4: Simplify right side
    850.59x = 524,305.09
  5. Step 5: Solve for x
    x = 524,305.09/850.59
  6. Step 6: Final answer
    x = 616.40

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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.