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Finding the Fourth Proportional to 623.10, 934.02 and 349.05

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Solution

The fourth proportional to 623.10, 934.02 and 349.05 is: 523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.10 : 934.02 = 349.05 : x
  2. Step 2: Convert to fraction form
    623.10/934.02 = 349.05/x
  3. Step 3: Cross multiply
    623.10x = 934.02 × 349.05
  4. Step 4: Simplify right side
    623.10x = 326,019.68
  5. Step 5: Solve for x
    x = 326,019.68/623.10
  6. Step 6: Final answer
    x = 523.22

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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.