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Finding the Fourth Proportional to 477.22, 653.62 and 449.19

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Solution

The fourth proportional to 477.22, 653.62 and 449.19 is: 615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.22 : 653.62 = 449.19 : x
  2. Step 2: Convert to fraction form
    477.22/653.62 = 449.19/x
  3. Step 3: Cross multiply
    477.22x = 653.62 × 449.19
  4. Step 4: Simplify right side
    477.22x = 293,599.57
  5. Step 5: Solve for x
    x = 293,599.57/477.22
  6. Step 6: Final answer
    x = 615.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.