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Finding the Fourth Proportional to 456.07, 682.32 and 389.34

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Solution

The fourth proportional to 456.07, 682.32 and 389.34 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.07 : 682.32 = 389.34 : x
  2. Step 2: Convert to fraction form
    456.07/682.32 = 389.34/x
  3. Step 3: Cross multiply
    456.07x = 682.32 × 389.34
  4. Step 4: Simplify right side
    456.07x = 265,654.47
  5. Step 5: Solve for x
    x = 265,654.47/456.07
  6. Step 6: Final answer
    x = 582.49

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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.