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Finding the Fourth Proportional to 926.01, 1,394.49 and 805.72

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Solution

The fourth proportional to 926.01, 1,394.49 and 805.72 is: 1,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.01 : 1,394.49 = 805.72 : x
  2. Step 2: Convert to fraction form
    926.01/1,394.49 = 805.72/x
  3. Step 3: Cross multiply
    926.01x = 1,394.49 × 805.72
  4. Step 4: Simplify right side
    926.01x = 1,123,568.48
  5. Step 5: Solve for x
    x = 1,123,568.48/926.01
  6. Step 6: Final answer
    x = 1,213.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.