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Finding the Fourth Proportional to 685.11, 945.14 and 448.98

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Solution

The fourth proportional to 685.11, 945.14 and 448.98 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.11 : 945.14 = 448.98 : x
  2. Step 2: Convert to fraction form
    685.11/945.14 = 448.98/x
  3. Step 3: Cross multiply
    685.11x = 945.14 × 448.98
  4. Step 4: Simplify right side
    685.11x = 424,348.96
  5. Step 5: Solve for x
    x = 424,348.96/685.11
  6. Step 6: Final answer
    x = 619.39

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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.