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Finding the Fourth Proportional to 448.91, 619.13 and 316.57

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Solution

The fourth proportional to 448.91, 619.13 and 316.57 is: 436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.91 : 619.13 = 316.57 : x
  2. Step 2: Convert to fraction form
    448.91/619.13 = 316.57/x
  3. Step 3: Cross multiply
    448.91x = 619.13 × 316.57
  4. Step 4: Simplify right side
    448.91x = 195,997.98
  5. Step 5: Solve for x
    x = 195,997.98/448.91
  6. Step 6: Final answer
    x = 436.61

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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.