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Finding the Fourth Proportional to 623.45, 937.20 and 442.10

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Solution

The fourth proportional to 623.45, 937.20 and 442.10 is: 664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.45 : 937.20 = 442.10 : x
  2. Step 2: Convert to fraction form
    623.45/937.20 = 442.10/x
  3. Step 3: Cross multiply
    623.45x = 937.20 × 442.10
  4. Step 4: Simplify right side
    623.45x = 414,336.12
  5. Step 5: Solve for x
    x = 414,336.12/623.45
  6. Step 6: Final answer
    x = 664.59

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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.