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Finding the Fourth Proportional to 926.39, 1,275.39 and 809.88

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Solution

The fourth proportional to 926.39, 1,275.39 and 809.88 is: 1,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.39 : 1,275.39 = 809.88 : x
  2. Step 2: Convert to fraction form
    926.39/1,275.39 = 809.88/x
  3. Step 3: Cross multiply
    926.39x = 1,275.39 × 809.88
  4. Step 4: Simplify right side
    926.39x = 1,032,912.85
  5. Step 5: Solve for x
    x = 1,032,912.85/926.39
  6. Step 6: Final answer
    x = 1,114.99

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1.5x scale

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.