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Finding the Fourth Proportional to 927.02, 1,272.58 and 795.80

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Solution

The fourth proportional to 927.02, 1,272.58 and 795.80 is: 1,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.02 : 1,272.58 = 795.80 : x
  2. Step 2: Convert to fraction form
    927.02/1,272.58 = 795.80/x
  3. Step 3: Cross multiply
    927.02x = 1,272.58 × 795.80
  4. Step 4: Simplify right side
    927.02x = 1,012,719.16
  5. Step 5: Solve for x
    x = 1,012,719.16/927.02
  6. Step 6: Final answer
    x = 1,092.45

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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.