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Finding the Fourth Proportional to 475.29, 712.62 and 258.57

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Solution

The fourth proportional to 475.29, 712.62 and 258.57 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.29 : 712.62 = 258.57 : x
  2. Step 2: Convert to fraction form
    475.29/712.62 = 258.57/x
  3. Step 3: Cross multiply
    475.29x = 712.62 × 258.57
  4. Step 4: Simplify right side
    475.29x = 184,262.15
  5. Step 5: Solve for x
    x = 184,262.15/475.29
  6. Step 6: Final answer
    x = 387.68

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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.