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Finding the Fourth Proportional to 685.02, 944.85 and 449.12

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Solution

The fourth proportional to 685.02, 944.85 and 449.12 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 944.85 = 449.12 : x
  2. Step 2: Convert to fraction form
    685.02/944.85 = 449.12/x
  3. Step 3: Cross multiply
    685.02x = 944.85 × 449.12
  4. Step 4: Simplify right side
    685.02x = 424,351.03
  5. Step 5: Solve for x
    x = 424,351.03/685.02
  6. Step 6: Final answer
    x = 619.47

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1.5x scale

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.