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Finding the Fourth Proportional to 471.32, 649.32 and 471.32

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Solution

The fourth proportional to 471.32, 649.32 and 471.32 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.32 : 649.32 = 471.32 : x
  2. Step 2: Convert to fraction form
    471.32/649.32 = 471.32/x
  3. Step 3: Cross multiply
    471.32x = 649.32 × 471.32
  4. Step 4: Simplify right side
    471.32x = 306,037.50
  5. Step 5: Solve for x
    x = 306,037.50/471.32
  6. Step 6: Final answer
    x = 649.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.