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Finding the Fourth Proportional to 623.37, 934.17 and 314.80

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Solution

The fourth proportional to 623.37, 934.17 and 314.80 is: 471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.37 : 934.17 = 314.80 : x
  2. Step 2: Convert to fraction form
    623.37/934.17 = 314.80/x
  3. Step 3: Cross multiply
    623.37x = 934.17 × 314.80
  4. Step 4: Simplify right side
    623.37x = 294,076.72
  5. Step 5: Solve for x
    x = 294,076.72/623.37
  6. Step 6: Final answer
    x = 471.75

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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.