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Finding the Fourth Proportional to 448.72, 618.42 and 337.93

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Solution

The fourth proportional to 448.72, 618.42 and 337.93 is: 465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 618.42 = 337.93 : x
  2. Step 2: Convert to fraction form
    448.72/618.42 = 337.93/x
  3. Step 3: Cross multiply
    448.72x = 618.42 × 337.93
  4. Step 4: Simplify right side
    448.72x = 208,982.67
  5. Step 5: Solve for x
    x = 208,982.67/448.72
  6. Step 6: Final answer
    x = 465.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.