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Finding the Fourth Proportional to 482.60, 722.63 and 442.50

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Solution

The fourth proportional to 482.60, 722.63 and 442.50 is: 662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.60 : 722.63 = 442.50 : x
  2. Step 2: Convert to fraction form
    482.60/722.63 = 442.50/x
  3. Step 3: Cross multiply
    482.60x = 722.63 × 442.50
  4. Step 4: Simplify right side
    482.60x = 319,761.56
  5. Step 5: Solve for x
    x = 319,761.56/482.60
  6. Step 6: Final answer
    x = 662.59

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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.