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Finding the Fourth Proportional to 649.94, 972.47 and 405.32

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Solution

The fourth proportional to 649.94, 972.47 and 405.32 is: 606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.94 : 972.47 = 405.32 : x
  2. Step 2: Convert to fraction form
    649.94/972.47 = 405.32/x
  3. Step 3: Cross multiply
    649.94x = 972.47 × 405.32
  4. Step 4: Simplify right side
    649.94x = 394,161.54
  5. Step 5: Solve for x
    x = 394,161.54/649.94
  6. Step 6: Final answer
    x = 606.46

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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.