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Finding the Fourth Proportional to 623.68, 934.62 and 349.36

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Solution

The fourth proportional to 623.68, 934.62 and 349.36 is: 523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.68 : 934.62 = 349.36 : x
  2. Step 2: Convert to fraction form
    623.68/934.62 = 349.36/x
  3. Step 3: Cross multiply
    623.68x = 934.62 × 349.36
  4. Step 4: Simplify right side
    623.68x = 326,518.84
  5. Step 5: Solve for x
    x = 326,518.84/623.68
  6. Step 6: Final answer
    x = 523.54

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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.