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Finding the Fourth Proportional to 852.24, 1,174.52 and 665.44

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Solution

The fourth proportional to 852.24, 1,174.52 and 665.44 is: 917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.24 : 1,174.52 = 665.44 : x
  2. Step 2: Convert to fraction form
    852.24/1,174.52 = 665.44/x
  3. Step 3: Cross multiply
    852.24x = 1,174.52 × 665.44
  4. Step 4: Simplify right side
    852.24x = 781,572.59
  5. Step 5: Solve for x
    x = 781,572.59/852.24
  6. Step 6: Final answer
    x = 917.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.