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Finding the Fourth Proportional to 477.32, 716.22 and 440.60

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Solution

The fourth proportional to 477.32, 716.22 and 440.60 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 716.22 = 440.60 : x
  2. Step 2: Convert to fraction form
    477.32/716.22 = 440.60/x
  3. Step 3: Cross multiply
    477.32x = 716.22 × 440.60
  4. Step 4: Simplify right side
    477.32x = 315,566.53
  5. Step 5: Solve for x
    x = 315,566.53/477.32
  6. Step 6: Final answer
    x = 661.12

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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.