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Finding the Fourth Proportional to 852.94, 1,279.68 and 442.18

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Solution

The fourth proportional to 852.94, 1,279.68 and 442.18 is: 663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,279.68 = 442.18 : x
  2. Step 2: Convert to fraction form
    852.94/1,279.68 = 442.18/x
  3. Step 3: Cross multiply
    852.94x = 1,279.68 × 442.18
  4. Step 4: Simplify right side
    852.94x = 565,848.90
  5. Step 5: Solve for x
    x = 565,848.90/852.94
  6. Step 6: Final answer
    x = 663.41

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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.