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Finding the Fourth Proportional to 469.46, 646.44 and 425.54

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Solution

The fourth proportional to 469.46, 646.44 and 425.54 is: 585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 646.44 = 425.54 : x
  2. Step 2: Convert to fraction form
    469.46/646.44 = 425.54/x
  3. Step 3: Cross multiply
    469.46x = 646.44 × 425.54
  4. Step 4: Simplify right side
    469.46x = 275,086.08
  5. Step 5: Solve for x
    x = 275,086.08/469.46
  6. Step 6: Final answer
    x = 585.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.