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Finding the Fourth Proportional to 623.13, 935.06 and 314.97

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Solution

The fourth proportional to 623.13, 935.06 and 314.97 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.13 : 935.06 = 314.97 : x
  2. Step 2: Convert to fraction form
    623.13/935.06 = 314.97/x
  3. Step 3: Cross multiply
    623.13x = 935.06 × 314.97
  4. Step 4: Simplify right side
    623.13x = 294,514.27
  5. Step 5: Solve for x
    x = 294,514.27/623.13
  6. Step 6: Final answer
    x = 472.64

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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.