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Finding the Fourth Proportional to 623.71, 934.50 and 349.63

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Solution

The fourth proportional to 623.71, 934.50 and 349.63 is: 523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.71 : 934.50 = 349.63 : x
  2. Step 2: Convert to fraction form
    623.71/934.50 = 349.63/x
  3. Step 3: Cross multiply
    623.71x = 934.50 × 349.63
  4. Step 4: Simplify right side
    623.71x = 326,729.24
  5. Step 5: Solve for x
    x = 326,729.24/623.71
  6. Step 6: Final answer
    x = 523.85

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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.