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Finding the Fourth Proportional to 684.14, 943.02 and 462.72

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Solution

The fourth proportional to 684.14, 943.02 and 462.72 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.14 : 943.02 = 462.72 : x
  2. Step 2: Convert to fraction form
    684.14/943.02 = 462.72/x
  3. Step 3: Cross multiply
    684.14x = 943.02 × 462.72
  4. Step 4: Simplify right side
    684.14x = 436,354.21
  5. Step 5: Solve for x
    x = 436,354.21/684.14
  6. Step 6: Final answer
    x = 637.81

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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.