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Finding the Fourth Proportional to 925.71, 1,389.26 and 438.77

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Solution

The fourth proportional to 925.71, 1,389.26 and 438.77 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.71 : 1,389.26 = 438.77 : x
  2. Step 2: Convert to fraction form
    925.71/1,389.26 = 438.77/x
  3. Step 3: Cross multiply
    925.71x = 1,389.26 × 438.77
  4. Step 4: Simplify right side
    925.71x = 609,556.47
  5. Step 5: Solve for x
    x = 609,556.47/925.71
  6. Step 6: Final answer
    x = 658.47

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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.