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Finding the Fourth Proportional to 649.31, 975.44 and 376.07

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Solution

The fourth proportional to 649.31, 975.44 and 376.07 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 975.44 = 376.07 : x
  2. Step 2: Convert to fraction form
    649.31/975.44 = 376.07/x
  3. Step 3: Cross multiply
    649.31x = 975.44 × 376.07
  4. Step 4: Simplify right side
    649.31x = 366,831.84
  5. Step 5: Solve for x
    x = 366,831.84/649.31
  6. Step 6: Final answer
    x = 564.96

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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.