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Finding the Fourth Proportional to 492.48, 739.02 and 442.06

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Solution

The fourth proportional to 492.48, 739.02 and 442.06 is: 663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 739.02 = 442.06 : x
  2. Step 2: Convert to fraction form
    492.48/739.02 = 442.06/x
  3. Step 3: Cross multiply
    492.48x = 739.02 × 442.06
  4. Step 4: Simplify right side
    492.48x = 326,685.28
  5. Step 5: Solve for x
    x = 326,685.28/492.48
  6. Step 6: Final answer
    x = 663.35

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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.