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Finding the Fourth Proportional to 472.16, 704.38 and 459.44

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Solution

The fourth proportional to 472.16, 704.38 and 459.44 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 704.38 = 459.44 : x
  2. Step 2: Convert to fraction form
    472.16/704.38 = 459.44/x
  3. Step 3: Cross multiply
    472.16x = 704.38 × 459.44
  4. Step 4: Simplify right side
    472.16x = 323,618.28
  5. Step 5: Solve for x
    x = 323,618.28/472.16
  6. Step 6: Final answer
    x = 685.40

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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.