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Finding the Fourth Proportional to 656.41, 905.76 and 376.61

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Solution

The fourth proportional to 656.41, 905.76 and 376.61 is: 519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.41 : 905.76 = 376.61 : x
  2. Step 2: Convert to fraction form
    656.41/905.76 = 376.61/x
  3. Step 3: Cross multiply
    656.41x = 905.76 × 376.61
  4. Step 4: Simplify right side
    656.41x = 341,113.74
  5. Step 5: Solve for x
    x = 341,113.74/656.41
  6. Step 6: Final answer
    x = 519.67

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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.