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Finding the Fourth Proportional to 448.07, 617.46 and 316.85

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Solution

The fourth proportional to 448.07, 617.46 and 316.85 is: 436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.07 : 617.46 = 316.85 : x
  2. Step 2: Convert to fraction form
    448.07/617.46 = 316.85/x
  3. Step 3: Cross multiply
    448.07x = 617.46 × 316.85
  4. Step 4: Simplify right side
    448.07x = 195,637.93
  5. Step 5: Solve for x
    x = 195,637.93/448.07
  6. Step 6: Final answer
    x = 436.63

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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.