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Finding the Fourth Proportional to 647.76, 972.33 and 388.29

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Solution

The fourth proportional to 647.76, 972.33 and 388.29 is: 582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.76 : 972.33 = 388.29 : x
  2. Step 2: Convert to fraction form
    647.76/972.33 = 388.29/x
  3. Step 3: Cross multiply
    647.76x = 972.33 × 388.29
  4. Step 4: Simplify right side
    647.76x = 377,546.02
  5. Step 5: Solve for x
    x = 377,546.02/647.76
  6. Step 6: Final answer
    x = 582.85

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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.