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Finding the Fourth Proportional to 456.23, 625.88 and 428.29

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Solution

The fourth proportional to 456.23, 625.88 and 428.29 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 625.88 = 428.29 : x
  2. Step 2: Convert to fraction form
    456.23/625.88 = 428.29/x
  3. Step 3: Cross multiply
    456.23x = 625.88 × 428.29
  4. Step 4: Simplify right side
    456.23x = 268,055.24
  5. Step 5: Solve for x
    x = 268,055.24/456.23
  6. Step 6: Final answer
    x = 587.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.