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Finding the Fourth Proportional to 685.13, 945.70 and 449.22

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Solution

The fourth proportional to 685.13, 945.70 and 449.22 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.13 : 945.70 = 449.22 : x
  2. Step 2: Convert to fraction form
    685.13/945.70 = 449.22/x
  3. Step 3: Cross multiply
    685.13x = 945.70 × 449.22
  4. Step 4: Simplify right side
    685.13x = 424,829.78
  5. Step 5: Solve for x
    x = 424,829.78/685.13
  6. Step 6: Final answer
    x = 620.08

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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.