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Finding the Fourth Proportional to 491.52, 735.84 and 442.56

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Solution

The fourth proportional to 491.52, 735.84 and 442.56 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 735.84 = 442.56 : x
  2. Step 2: Convert to fraction form
    491.52/735.84 = 442.56/x
  3. Step 3: Cross multiply
    491.52x = 735.84 × 442.56
  4. Step 4: Simplify right side
    491.52x = 325,653.35
  5. Step 5: Solve for x
    x = 325,653.35/491.52
  6. Step 6: Final answer
    x = 662.54

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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.