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Finding the Fourth Proportional to 473.07, 704.85 and 446.54

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Solution

The fourth proportional to 473.07, 704.85 and 446.54 is: 665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.07 : 704.85 = 446.54 : x
  2. Step 2: Convert to fraction form
    473.07/704.85 = 446.54/x
  3. Step 3: Cross multiply
    473.07x = 704.85 × 446.54
  4. Step 4: Simplify right side
    473.07x = 314,741.16
  5. Step 5: Solve for x
    x = 314,741.16/473.07
  6. Step 6: Final answer
    x = 665.32

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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.