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Finding the Fourth Proportional to 474.21, 653.10 and 449.51

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Solution

The fourth proportional to 474.21, 653.10 and 449.51 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.21 : 653.10 = 449.51 : x
  2. Step 2: Convert to fraction form
    474.21/653.10 = 449.51/x
  3. Step 3: Cross multiply
    474.21x = 653.10 × 449.51
  4. Step 4: Simplify right side
    474.21x = 293,571.72
  5. Step 5: Solve for x
    x = 293,571.72/474.21
  6. Step 6: Final answer
    x = 619.08

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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.