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Finding the Fourth Proportional to 448.12, 617.94 and 317.08

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Solution

The fourth proportional to 448.12, 617.94 and 317.08 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.12 : 617.94 = 317.08 : x
  2. Step 2: Convert to fraction form
    448.12/617.94 = 317.08/x
  3. Step 3: Cross multiply
    448.12x = 617.94 × 317.08
  4. Step 4: Simplify right side
    448.12x = 195,936.42
  5. Step 5: Solve for x
    x = 195,936.42/448.12
  6. Step 6: Final answer
    x = 437.24

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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.