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Finding the Fourth Proportional to 623.17, 934.86 and 257.95

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Solution

The fourth proportional to 623.17, 934.86 and 257.95 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.17 : 934.86 = 257.95 : x
  2. Step 2: Convert to fraction form
    623.17/934.86 = 257.95/x
  3. Step 3: Cross multiply
    623.17x = 934.86 × 257.95
  4. Step 4: Simplify right side
    623.17x = 241,147.14
  5. Step 5: Solve for x
    x = 241,147.14/623.17
  6. Step 6: Final answer
    x = 386.97

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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.