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Finding the Fourth Proportional to 925, 1,384.22 and 578.50

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Solution

The fourth proportional to 925, 1,384.22 and 578.50 is: 865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    925 : 1,384.22 = 578.50 : x
  2. Step 2: Convert to fraction form
    925/1,384.22 = 578.50/x
  3. Step 3: Cross multiply
    925x = 1,384.22 × 578.50
  4. Step 4: Simplify right side
    925x = 800,771.27
  5. Step 5: Solve for x
    x = 800,771.27/925
  6. Step 6: Final answer
    x = 865.70

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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.