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Finding the Fourth Proportional to 487.29, 670.63 and 447.96

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Solution

The fourth proportional to 487.29, 670.63 and 447.96 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.29 : 670.63 = 447.96 : x
  2. Step 2: Convert to fraction form
    487.29/670.63 = 447.96/x
  3. Step 3: Cross multiply
    487.29x = 670.63 × 447.96
  4. Step 4: Simplify right side
    487.29x = 300,415.41
  5. Step 5: Solve for x
    x = 300,415.41/487.29
  6. Step 6: Final answer
    x = 616.50

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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.