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Finding the Fourth Proportional to 623.54, 935.64 and 442.43

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Solution

The fourth proportional to 623.54, 935.64 and 442.43 is: 663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.54 : 935.64 = 442.43 : x
  2. Step 2: Convert to fraction form
    623.54/935.64 = 442.43/x
  3. Step 3: Cross multiply
    623.54x = 935.64 × 442.43
  4. Step 4: Simplify right side
    623.54x = 413,950.53
  5. Step 5: Solve for x
    x = 413,950.53/623.54
  6. Step 6: Final answer
    x = 663.88

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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.