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Finding the Fourth Proportional to 649.36, 974.04 and 444.32

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Solution

The fourth proportional to 649.36, 974.04 and 444.32 is: 666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 974.04 = 444.32 : x
  2. Step 2: Convert to fraction form
    649.36/974.04 = 444.32/x
  3. Step 3: Cross multiply
    649.36x = 974.04 × 444.32
  4. Step 4: Simplify right side
    649.36x = 432,785.45
  5. Step 5: Solve for x
    x = 432,785.45/649.36
  6. Step 6: Final answer
    x = 666.48

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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.