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Finding the Fourth Proportional to 852.05, 1,276.85 and 419.51

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Solution

The fourth proportional to 852.05, 1,276.85 and 419.51 is: 628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,276.85 = 419.51 : x
  2. Step 2: Convert to fraction form
    852.05/1,276.85 = 419.51/x
  3. Step 3: Cross multiply
    852.05x = 1,276.85 × 419.51
  4. Step 4: Simplify right side
    852.05x = 535,655.58
  5. Step 5: Solve for x
    x = 535,655.58/852.05
  6. Step 6: Final answer
    x = 628.66

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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.