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Finding the Fourth Proportional to 852.66, 1,272.11 and 760.32

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Solution

The fourth proportional to 852.66, 1,272.11 and 760.32 is: 1,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.66 : 1,272.11 = 760.32 : x
  2. Step 2: Convert to fraction form
    852.66/1,272.11 = 760.32/x
  3. Step 3: Cross multiply
    852.66x = 1,272.11 × 760.32
  4. Step 4: Simplify right side
    852.66x = 967,206.87
  5. Step 5: Solve for x
    x = 967,206.87/852.66
  6. Step 6: Final answer
    x = 1,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.