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Finding the Fourth Proportional to 623.43, 934.02 and 314.82

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Solution

The fourth proportional to 623.43, 934.02 and 314.82 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.43 : 934.02 = 314.82 : x
  2. Step 2: Convert to fraction form
    623.43/934.02 = 314.82/x
  3. Step 3: Cross multiply
    623.43x = 934.02 × 314.82
  4. Step 4: Simplify right side
    623.43x = 294,048.18
  5. Step 5: Solve for x
    x = 294,048.18/623.43
  6. Step 6: Final answer
    x = 471.66

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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.