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Finding the Fourth Proportional to 488.54, 731.40 and 380.00

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Solution

The fourth proportional to 488.54, 731.40 and 380.00 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 731.40 = 380.00 : x
  2. Step 2: Convert to fraction form
    488.54/731.40 = 380.00/x
  3. Step 3: Cross multiply
    488.54x = 731.40 × 380.00
  4. Step 4: Simplify right side
    488.54x = 277,932.40
  5. Step 5: Solve for x
    x = 277,932.40/488.54
  6. Step 6: Final answer
    x = 568.90

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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.