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Finding the Fourth Proportional to 685.96, 945.78 and 586.19

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Solution

The fourth proportional to 685.96, 945.78 and 586.19 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.96 : 945.78 = 586.19 : x
  2. Step 2: Convert to fraction form
    685.96/945.78 = 586.19/x
  3. Step 3: Cross multiply
    685.96x = 945.78 × 586.19
  4. Step 4: Simplify right side
    685.96x = 554,406.94
  5. Step 5: Solve for x
    x = 554,406.94/685.96
  6. Step 6: Final answer
    x = 808.22

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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.