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Finding the Fourth Proportional to 684.35, 943.58 and 474.70

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Solution

The fourth proportional to 684.35, 943.58 and 474.70 is: 654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.35 : 943.58 = 474.70 : x
  2. Step 2: Convert to fraction form
    684.35/943.58 = 474.70/x
  3. Step 3: Cross multiply
    684.35x = 943.58 × 474.70
  4. Step 4: Simplify right side
    684.35x = 447,917.41
  5. Step 5: Solve for x
    x = 447,917.41/684.35
  6. Step 6: Final answer
    x = 654.52

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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.