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Finding the Fourth Proportional to 471.95, 651.41 and 314.84

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Solution

The fourth proportional to 471.95, 651.41 and 314.84 is: 434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 651.41 = 314.84 : x
  2. Step 2: Convert to fraction form
    471.95/651.41 = 314.84/x
  3. Step 3: Cross multiply
    471.95x = 651.41 × 314.84
  4. Step 4: Simplify right side
    471.95x = 205,091.16
  5. Step 5: Solve for x
    x = 205,091.16/471.95
  6. Step 6: Final answer
    x = 434.56

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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.