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Finding the Fourth Proportional to 925.56, 1,381.56 and 816.21

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Solution

The fourth proportional to 925.56, 1,381.56 and 816.21 is: 1,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.56 : 1,381.56 = 816.21 : x
  2. Step 2: Convert to fraction form
    925.56/1,381.56 = 816.21/x
  3. Step 3: Cross multiply
    925.56x = 1,381.56 × 816.21
  4. Step 4: Simplify right side
    925.56x = 1,127,643.09
  5. Step 5: Solve for x
    x = 1,127,643.09/925.56
  6. Step 6: Final answer
    x = 1,218.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.