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Finding the Fourth Proportional to 684.93, 945.63 and 423.03

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Solution

The fourth proportional to 684.93, 945.63 and 423.03 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.93 : 945.63 = 423.03 : x
  2. Step 2: Convert to fraction form
    684.93/945.63 = 423.03/x
  3. Step 3: Cross multiply
    684.93x = 945.63 × 423.03
  4. Step 4: Simplify right side
    684.93x = 400,029.86
  5. Step 5: Solve for x
    x = 400,029.86/684.93
  6. Step 6: Final answer
    x = 584.04

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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.