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Finding the Fourth Proportional to 623.24, 935.47 and 475.62

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Solution

The fourth proportional to 623.24, 935.47 and 475.62 is: 713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 935.47 = 475.62 : x
  2. Step 2: Convert to fraction form
    623.24/935.47 = 475.62/x
  3. Step 3: Cross multiply
    623.24x = 935.47 × 475.62
  4. Step 4: Simplify right side
    623.24x = 444,928.24
  5. Step 5: Solve for x
    x = 444,928.24/623.24
  6. Step 6: Final answer
    x = 713.90

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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.