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Finding the Fourth Proportional to 852.71, 1,278.22 and 407.19

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Solution

The fourth proportional to 852.71, 1,278.22 and 407.19 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.71 : 1,278.22 = 407.19 : x
  2. Step 2: Convert to fraction form
    852.71/1,278.22 = 407.19/x
  3. Step 3: Cross multiply
    852.71x = 1,278.22 × 407.19
  4. Step 4: Simplify right side
    852.71x = 520,478.40
  5. Step 5: Solve for x
    x = 520,478.40/852.71
  6. Step 6: Final answer
    x = 610.38

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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.