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Finding the Fourth Proportional to 472.28, 703.58 and 454.86

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Solution

The fourth proportional to 472.28, 703.58 and 454.86 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 703.58 = 454.86 : x
  2. Step 2: Convert to fraction form
    472.28/703.58 = 454.86/x
  3. Step 3: Cross multiply
    472.28x = 703.58 × 454.86
  4. Step 4: Simplify right side
    472.28x = 320,028.12
  5. Step 5: Solve for x
    x = 320,028.12/472.28
  6. Step 6: Final answer
    x = 677.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.