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Finding the Fourth Proportional to 926.30, 1,275.54 and 801.74

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Solution

The fourth proportional to 926.30, 1,275.54 and 801.74 is: 1,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.30 : 1,275.54 = 801.74 : x
  2. Step 2: Convert to fraction form
    926.30/1,275.54 = 801.74/x
  3. Step 3: Cross multiply
    926.30x = 1,275.54 × 801.74
  4. Step 4: Simplify right side
    926.30x = 1,022,651.44
  5. Step 5: Solve for x
    x = 1,022,651.44/926.30
  6. Step 6: Final answer
    x = 1,104.02

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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.