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Finding the Fourth Proportional to 820.94, 1,231.80 and 410.11

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Solution

The fourth proportional to 820.94, 1,231.80 and 410.11 is: 615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.94 : 1,231.80 = 410.11 : x
  2. Step 2: Convert to fraction form
    820.94/1,231.80 = 410.11/x
  3. Step 3: Cross multiply
    820.94x = 1,231.80 × 410.11
  4. Step 4: Simplify right side
    820.94x = 505,173.50
  5. Step 5: Solve for x
    x = 505,173.50/820.94
  6. Step 6: Final answer
    x = 615.36

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1.5x scale

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.