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Finding the Fourth Proportional to 925.34, 1,389.23 and 651.56

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Solution

The fourth proportional to 925.34, 1,389.23 and 651.56 is: 978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.34 : 1,389.23 = 651.56 : x
  2. Step 2: Convert to fraction form
    925.34/1,389.23 = 651.56/x
  3. Step 3: Cross multiply
    925.34x = 1,389.23 × 651.56
  4. Step 4: Simplify right side
    925.34x = 905,163.44
  5. Step 5: Solve for x
    x = 905,163.44/925.34
  6. Step 6: Final answer
    x = 978.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.