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Finding the Fourth Proportional to 475.44, 712.80 and 259.08

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Solution

The fourth proportional to 475.44, 712.80 and 259.08 is: 388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 712.80 = 259.08 : x
  2. Step 2: Convert to fraction form
    475.44/712.80 = 259.08/x
  3. Step 3: Cross multiply
    475.44x = 712.80 × 259.08
  4. Step 4: Simplify right side
    475.44x = 184,672.22
  5. Step 5: Solve for x
    x = 184,672.22/475.44
  6. Step 6: Final answer
    x = 388.42

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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.