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Finding the Fourth Proportional to 471.70, 651.06 and 314.59

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Solution

The fourth proportional to 471.70, 651.06 and 314.59 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.70 : 651.06 = 314.59 : x
  2. Step 2: Convert to fraction form
    471.70/651.06 = 314.59/x
  3. Step 3: Cross multiply
    471.70x = 651.06 × 314.59
  4. Step 4: Simplify right side
    471.70x = 204,816.97
  5. Step 5: Solve for x
    x = 204,816.97/471.70
  6. Step 6: Final answer
    x = 434.21

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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.