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Finding the Fourth Proportional to 614.55, 846.93 and 448.29

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Solution

The fourth proportional to 614.55, 846.93 and 448.29 is: 617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.55 : 846.93 = 448.29 : x
  2. Step 2: Convert to fraction form
    614.55/846.93 = 448.29/x
  3. Step 3: Cross multiply
    614.55x = 846.93 × 448.29
  4. Step 4: Simplify right side
    614.55x = 379,670.25
  5. Step 5: Solve for x
    x = 379,670.25/614.55
  6. Step 6: Final answer
    x = 617.80

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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.