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Finding the Fourth Proportional to 925.91, 1,389.24 and 405.64

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Solution

The fourth proportional to 925.91, 1,389.24 and 405.64 is: 608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.91 : 1,389.24 = 405.64 : x
  2. Step 2: Convert to fraction form
    925.91/1,389.24 = 405.64/x
  3. Step 3: Cross multiply
    925.91x = 1,389.24 × 405.64
  4. Step 4: Simplify right side
    925.91x = 563,531.31
  5. Step 5: Solve for x
    x = 563,531.31/925.91
  6. Step 6: Final answer
    x = 608.63

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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.