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Finding the Fourth Proportional to 922.64, 1,265.04 and 875.66

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Solution

The fourth proportional to 922.64, 1,265.04 and 875.66 is: 1,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,265.04 = 875.66 : x
  2. Step 2: Convert to fraction form
    922.64/1,265.04 = 875.66/x
  3. Step 3: Cross multiply
    922.64x = 1,265.04 × 875.66
  4. Step 4: Simplify right side
    922.64x = 1,107,738.60
  5. Step 5: Solve for x
    x = 1,107,738.60/922.64
  6. Step 6: Final answer
    x = 1,200.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.