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Finding the Fourth Proportional to 685.29, 945.06 and 449.16

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Solution

The fourth proportional to 685.29, 945.06 and 449.16 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.29 : 945.06 = 449.16 : x
  2. Step 2: Convert to fraction form
    685.29/945.06 = 449.16/x
  3. Step 3: Cross multiply
    685.29x = 945.06 × 449.16
  4. Step 4: Simplify right side
    685.29x = 424,483.15
  5. Step 5: Solve for x
    x = 424,483.15/685.29
  6. Step 6: Final answer
    x = 619.42

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Double scale
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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.