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Finding the Fourth Proportional to 488.53, 731.05 and 455.94

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Solution

The fourth proportional to 488.53, 731.05 and 455.94 is: 682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 731.05 = 455.94 : x
  2. Step 2: Convert to fraction form
    488.53/731.05 = 455.94/x
  3. Step 3: Cross multiply
    488.53x = 731.05 × 455.94
  4. Step 4: Simplify right side
    488.53x = 333,316.54
  5. Step 5: Solve for x
    x = 333,316.54/488.53
  6. Step 6: Final answer
    x = 682.28

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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.