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Finding the Fourth Proportional to 456.86, 684.50 and 380.32

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Solution

The fourth proportional to 456.86, 684.50 and 380.32 is: 569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 684.50 = 380.32 : x
  2. Step 2: Convert to fraction form
    456.86/684.50 = 380.32/x
  3. Step 3: Cross multiply
    456.86x = 684.50 × 380.32
  4. Step 4: Simplify right side
    456.86x = 260,325.43
  5. Step 5: Solve for x
    x = 260,325.43/456.86
  6. Step 6: Final answer
    x = 569.81

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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.