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Finding the Fourth Proportional to 623.80, 934.94 and 315.56

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Solution

The fourth proportional to 623.80, 934.94 and 315.56 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.80 : 934.94 = 315.56 : x
  2. Step 2: Convert to fraction form
    623.80/934.94 = 315.56/x
  3. Step 3: Cross multiply
    623.80x = 934.94 × 315.56
  4. Step 4: Simplify right side
    623.80x = 295,029.67
  5. Step 5: Solve for x
    x = 295,029.67/623.80
  6. Step 6: Final answer
    x = 472.96

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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.