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Finding the Fourth Proportional to 623.19, 934.79 and 408.13

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Solution

The fourth proportional to 623.19, 934.79 and 408.13 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.19 : 934.79 = 408.13 : x
  2. Step 2: Convert to fraction form
    623.19/934.79 = 408.13/x
  3. Step 3: Cross multiply
    623.19x = 934.79 × 408.13
  4. Step 4: Simplify right side
    623.19x = 381,515.84
  5. Step 5: Solve for x
    x = 381,515.84/623.19
  6. Step 6: Final answer
    x = 612.20

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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.