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Finding the Fourth Proportional to 684.67, 945.23 and 610.86

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Solution

The fourth proportional to 684.67, 945.23 and 610.86 is: 843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.67 : 945.23 = 610.86 : x
  2. Step 2: Convert to fraction form
    684.67/945.23 = 610.86/x
  3. Step 3: Cross multiply
    684.67x = 945.23 × 610.86
  4. Step 4: Simplify right side
    684.67x = 577,403.20
  5. Step 5: Solve for x
    x = 577,403.20/684.67
  6. Step 6: Final answer
    x = 843.33

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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.