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Finding the Fourth Proportional to 852.87, 1,281.75 and 420.33

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Solution

The fourth proportional to 852.87, 1,281.75 and 420.33 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.87 : 1,281.75 = 420.33 : x
  2. Step 2: Convert to fraction form
    852.87/1,281.75 = 420.33/x
  3. Step 3: Cross multiply
    852.87x = 1,281.75 × 420.33
  4. Step 4: Simplify right side
    852.87x = 538,757.98
  5. Step 5: Solve for x
    x = 538,757.98/852.87
  6. Step 6: Final answer
    x = 631.70

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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.