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Finding the Fourth Proportional to 684.08, 943.86 and 474.68

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Solution

The fourth proportional to 684.08, 943.86 and 474.68 is: 654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.08 : 943.86 = 474.68 : x
  2. Step 2: Convert to fraction form
    684.08/943.86 = 474.68/x
  3. Step 3: Cross multiply
    684.08x = 943.86 × 474.68
  4. Step 4: Simplify right side
    684.08x = 448,031.46
  5. Step 5: Solve for x
    x = 448,031.46/684.08
  6. Step 6: Final answer
    x = 654.94

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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.