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Finding the Fourth Proportional to 852.24, 1,278 and 419.28

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Solution

The fourth proportional to 852.24, 1,278 and 419.28 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.24 : 1,278 = 419.28 : x
  2. Step 2: Convert to fraction form
    852.24/1,278 = 419.28/x
  3. Step 3: Cross multiply
    852.24x = 1,278 × 419.28
  4. Step 4: Simplify right side
    852.24x = 535,839.84
  5. Step 5: Solve for x
    x = 535,839.84/852.24
  6. Step 6: Final answer
    x = 628.74

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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.