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Finding the Fourth Proportional to 475.95, 715.06 and 311.56

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Solution

The fourth proportional to 475.95, 715.06 and 311.56 is: 468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.95 : 715.06 = 311.56 : x
  2. Step 2: Convert to fraction form
    475.95/715.06 = 311.56/x
  3. Step 3: Cross multiply
    475.95x = 715.06 × 311.56
  4. Step 4: Simplify right side
    475.95x = 222,784.09
  5. Step 5: Solve for x
    x = 222,784.09/475.95
  6. Step 6: Final answer
    x = 468.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.