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Finding the Fourth Proportional to 610.53, 914.77 and 448.26

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Solution

The fourth proportional to 610.53, 914.77 and 448.26 is: 671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 914.77 = 448.26 : x
  2. Step 2: Convert to fraction form
    610.53/914.77 = 448.26/x
  3. Step 3: Cross multiply
    610.53x = 914.77 × 448.26
  4. Step 4: Simplify right side
    610.53x = 410,054.80
  5. Step 5: Solve for x
    x = 410,054.80/610.53
  6. Step 6: Final answer
    x = 671.64

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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.