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Finding the Fourth Proportional to 475.36, 712.86 and 258.82

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Solution

The fourth proportional to 475.36, 712.86 and 258.82 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.36 : 712.86 = 258.82 : x
  2. Step 2: Convert to fraction form
    475.36/712.86 = 258.82/x
  3. Step 3: Cross multiply
    475.36x = 712.86 × 258.82
  4. Step 4: Simplify right side
    475.36x = 184,502.43
  5. Step 5: Solve for x
    x = 184,502.43/475.36
  6. Step 6: Final answer
    x = 388.13

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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.