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Finding the Fourth Proportional to 440.75, 657.86 and 388.86

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Solution

The fourth proportional to 440.75, 657.86 and 388.86 is: 580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.75 : 657.86 = 388.86 : x
  2. Step 2: Convert to fraction form
    440.75/657.86 = 388.86/x
  3. Step 3: Cross multiply
    440.75x = 657.86 × 388.86
  4. Step 4: Simplify right side
    440.75x = 255,813.22
  5. Step 5: Solve for x
    x = 255,813.22/440.75
  6. Step 6: Final answer
    x = 580.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.