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Finding the Fourth Proportional to 684.68, 945.42 and 463.55

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Solution

The fourth proportional to 684.68, 945.42 and 463.55 is: 640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 945.42 = 463.55 : x
  2. Step 2: Convert to fraction form
    684.68/945.42 = 463.55/x
  3. Step 3: Cross multiply
    684.68x = 945.42 × 463.55
  4. Step 4: Simplify right side
    684.68x = 438,249.44
  5. Step 5: Solve for x
    x = 438,249.44/684.68
  6. Step 6: Final answer
    x = 640.08

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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.