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Finding the Fourth Proportional to 925.58, 1,389.76 and 581.09

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Solution

The fourth proportional to 925.58, 1,389.76 and 581.09 is: 872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.58 : 1,389.76 = 581.09 : x
  2. Step 2: Convert to fraction form
    925.58/1,389.76 = 581.09/x
  3. Step 3: Cross multiply
    925.58x = 1,389.76 × 581.09
  4. Step 4: Simplify right side
    925.58x = 807,577.66
  5. Step 5: Solve for x
    x = 807,577.66/925.58
  6. Step 6: Final answer
    x = 872.51

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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.