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Finding the Fourth Proportional to 473.03, 704.69 and 455.61

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Solution

The fourth proportional to 473.03, 704.69 and 455.61 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.03 : 704.69 = 455.61 : x
  2. Step 2: Convert to fraction form
    473.03/704.69 = 455.61/x
  3. Step 3: Cross multiply
    473.03x = 704.69 × 455.61
  4. Step 4: Simplify right side
    473.03x = 321,063.81
  5. Step 5: Solve for x
    x = 321,063.81/473.03
  6. Step 6: Final answer
    x = 678.74

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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.