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Finding the Fourth Proportional to 447.65, 670.69 and 291.52

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Solution

The fourth proportional to 447.65, 670.69 and 291.52 is: 436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.65 : 670.69 = 291.52 : x
  2. Step 2: Convert to fraction form
    447.65/670.69 = 291.52/x
  3. Step 3: Cross multiply
    447.65x = 670.69 × 291.52
  4. Step 4: Simplify right side
    447.65x = 195,519.55
  5. Step 5: Solve for x
    x = 195,519.55/447.65
  6. Step 6: Final answer
    x = 436.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.