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Finding the Fourth Proportional to 852.65, 1,279.80 and 442.07

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Solution

The fourth proportional to 852.65, 1,279.80 and 442.07 is: 663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.65 : 1,279.80 = 442.07 : x
  2. Step 2: Convert to fraction form
    852.65/1,279.80 = 442.07/x
  3. Step 3: Cross multiply
    852.65x = 1,279.80 × 442.07
  4. Step 4: Simplify right side
    852.65x = 565,761.19
  5. Step 5: Solve for x
    x = 565,761.19/852.65
  6. Step 6: Final answer
    x = 663.53

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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.