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Finding the Fourth Proportional to 623.22, 934.84 and 315.22

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Solution

The fourth proportional to 623.22, 934.84 and 315.22 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.22 : 934.84 = 315.22 : x
  2. Step 2: Convert to fraction form
    623.22/934.84 = 315.22/x
  3. Step 3: Cross multiply
    623.22x = 934.84 × 315.22
  4. Step 4: Simplify right side
    623.22x = 294,680.26
  5. Step 5: Solve for x
    x = 294,680.26/623.22
  6. Step 6: Final answer
    x = 472.84

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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.