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Finding the Fourth Proportional to 476.90, 653.19 and 448.88

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Solution

The fourth proportional to 476.90, 653.19 and 448.88 is: 614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.90 : 653.19 = 448.88 : x
  2. Step 2: Convert to fraction form
    476.90/653.19 = 448.88/x
  3. Step 3: Cross multiply
    476.90x = 653.19 × 448.88
  4. Step 4: Simplify right side
    476.90x = 293,205.18
  5. Step 5: Solve for x
    x = 293,205.18/476.90
  6. Step 6: Final answer
    x = 614.81

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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.