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Finding the Fourth Proportional to 623.09, 933.96 and 314.75

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Solution

The fourth proportional to 623.09, 933.96 and 314.75 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.09 : 933.96 = 314.75 : x
  2. Step 2: Convert to fraction form
    623.09/933.96 = 314.75/x
  3. Step 3: Cross multiply
    623.09x = 933.96 × 314.75
  4. Step 4: Simplify right side
    623.09x = 293,963.91
  5. Step 5: Solve for x
    x = 293,963.91/623.09
  6. Step 6: Final answer
    x = 471.78

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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.