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Finding the Fourth Proportional to 662.19, 993.95 and 442.10

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Solution

The fourth proportional to 662.19, 993.95 and 442.10 is: 663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.19 : 993.95 = 442.10 : x
  2. Step 2: Convert to fraction form
    662.19/993.95 = 442.10/x
  3. Step 3: Cross multiply
    662.19x = 993.95 × 442.10
  4. Step 4: Simplify right side
    662.19x = 439,425.29
  5. Step 5: Solve for x
    x = 439,425.29/662.19
  6. Step 6: Final answer
    x = 663.60

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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.