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Finding the Fourth Proportional to 623.43, 935.55 and 315.63

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Solution

The fourth proportional to 623.43, 935.55 and 315.63 is: 473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.43 : 935.55 = 315.63 : x
  2. Step 2: Convert to fraction form
    623.43/935.55 = 315.63/x
  3. Step 3: Cross multiply
    623.43x = 935.55 × 315.63
  4. Step 4: Simplify right side
    623.43x = 295,287.65
  5. Step 5: Solve for x
    x = 295,287.65/623.43
  6. Step 6: Final answer
    x = 473.65

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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.