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Finding the Fourth Proportional to 649.68, 975.20 and 376.31

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Solution

The fourth proportional to 649.68, 975.20 and 376.31 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.68 : 975.20 = 376.31 : x
  2. Step 2: Convert to fraction form
    649.68/975.20 = 376.31/x
  3. Step 3: Cross multiply
    649.68x = 975.20 × 376.31
  4. Step 4: Simplify right side
    649.68x = 366,970.75
  5. Step 5: Solve for x
    x = 366,970.75/649.68
  6. Step 6: Final answer
    x = 564.85

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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.