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Finding the Fourth Proportional to 473.15, 704.93 and 449.91

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Solution

The fourth proportional to 473.15, 704.93 and 449.91 is: 670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 704.93 = 449.91 : x
  2. Step 2: Convert to fraction form
    473.15/704.93 = 449.91/x
  3. Step 3: Cross multiply
    473.15x = 704.93 × 449.91
  4. Step 4: Simplify right side
    473.15x = 317,152.81
  5. Step 5: Solve for x
    x = 317,152.81/473.15
  6. Step 6: Final answer
    x = 670.31

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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.