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Finding the Fourth Proportional to 448.51, 617.10 and 438.15

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Solution

The fourth proportional to 448.51, 617.10 and 438.15 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 617.10 = 438.15 : x
  2. Step 2: Convert to fraction form
    448.51/617.10 = 438.15/x
  3. Step 3: Cross multiply
    448.51x = 617.10 × 438.15
  4. Step 4: Simplify right side
    448.51x = 270,382.37
  5. Step 5: Solve for x
    x = 270,382.37/448.51
  6. Step 6: Final answer
    x = 602.85

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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.