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Finding the Fourth Proportional to 610.93, 914.23 and 448.21

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Solution

The fourth proportional to 610.93, 914.23 and 448.21 is: 670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.93 : 914.23 = 448.21 : x
  2. Step 2: Convert to fraction form
    610.93/914.23 = 448.21/x
  3. Step 3: Cross multiply
    610.93x = 914.23 × 448.21
  4. Step 4: Simplify right side
    610.93x = 409,767.03
  5. Step 5: Solve for x
    x = 409,767.03/610.93
  6. Step 6: Final answer
    x = 670.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.