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Finding the Fourth Proportional to 448.17, 617.94 and 425.09

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Solution

The fourth proportional to 448.17, 617.94 and 425.09 is: 586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.17 : 617.94 = 425.09 : x
  2. Step 2: Convert to fraction form
    448.17/617.94 = 425.09/x
  3. Step 3: Cross multiply
    448.17x = 617.94 × 425.09
  4. Step 4: Simplify right side
    448.17x = 262,677.02
  5. Step 5: Solve for x
    x = 262,677.02/448.17
  6. Step 6: Final answer
    x = 586.11

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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.