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Finding the Fourth Proportional to 449.78, 623.52 and 425.14

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Solution

The fourth proportional to 449.78, 623.52 and 425.14 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.78 : 623.52 = 425.14 : x
  2. Step 2: Convert to fraction form
    449.78/623.52 = 425.14/x
  3. Step 3: Cross multiply
    449.78x = 623.52 × 425.14
  4. Step 4: Simplify right side
    449.78x = 265,081.73
  5. Step 5: Solve for x
    x = 265,081.73/449.78
  6. Step 6: Final answer
    x = 589.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.