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Finding the Fourth Proportional to 474.41, 653.74 and 449.71

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Solution

The fourth proportional to 474.41, 653.74 and 449.71 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.41 : 653.74 = 449.71 : x
  2. Step 2: Convert to fraction form
    474.41/653.74 = 449.71/x
  3. Step 3: Cross multiply
    474.41x = 653.74 × 449.71
  4. Step 4: Simplify right side
    474.41x = 293,990.66
  5. Step 5: Solve for x
    x = 293,990.66/474.41
  6. Step 6: Final answer
    x = 619.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.