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Finding the Fourth Proportional to 623.37, 934.77 and 257.94

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Solution

The fourth proportional to 623.37, 934.77 and 257.94 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.37 : 934.77 = 257.94 : x
  2. Step 2: Convert to fraction form
    623.37/934.77 = 257.94/x
  3. Step 3: Cross multiply
    623.37x = 934.77 × 257.94
  4. Step 4: Simplify right side
    623.37x = 241,114.57
  5. Step 5: Solve for x
    x = 241,114.57/623.37
  6. Step 6: Final answer
    x = 386.79

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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.