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Finding the Fourth Proportional to 852.30, 1,276.56 and 689.22

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Solution

The fourth proportional to 852.30, 1,276.56 and 689.22 is: 1,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.30 : 1,276.56 = 689.22 : x
  2. Step 2: Convert to fraction form
    852.30/1,276.56 = 689.22/x
  3. Step 3: Cross multiply
    852.30x = 1,276.56 × 689.22
  4. Step 4: Simplify right side
    852.30x = 879,830.68
  5. Step 5: Solve for x
    x = 879,830.68/852.30
  6. Step 6: Final answer
    x = 1,032.30

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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.