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Finding the Fourth Proportional to 923.85, 1,384.89 and 338.72

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Solution

The fourth proportional to 923.85, 1,384.89 and 338.72 is: 507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,384.89 = 338.72 : x
  2. Step 2: Convert to fraction form
    923.85/1,384.89 = 338.72/x
  3. Step 3: Cross multiply
    923.85x = 1,384.89 × 338.72
  4. Step 4: Simplify right side
    923.85x = 469,083.02
  5. Step 5: Solve for x
    x = 469,083.02/923.85
  6. Step 6: Final answer
    x = 507.75

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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.