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Finding the Fourth Proportional to 684.18, 944.73 and 463.86

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Solution

The fourth proportional to 684.18, 944.73 and 463.86 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.18 : 944.73 = 463.86 : x
  2. Step 2: Convert to fraction form
    684.18/944.73 = 463.86/x
  3. Step 3: Cross multiply
    684.18x = 944.73 × 463.86
  4. Step 4: Simplify right side
    684.18x = 438,222.46
  5. Step 5: Solve for x
    x = 438,222.46/684.18
  6. Step 6: Final answer
    x = 640.51

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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.