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Finding the Fourth Proportional to 491.72, 735.98 and 376.60

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Solution

The fourth proportional to 491.72, 735.98 and 376.60 is: 563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 735.98 = 376.60 : x
  2. Step 2: Convert to fraction form
    491.72/735.98 = 376.60/x
  3. Step 3: Cross multiply
    491.72x = 735.98 × 376.60
  4. Step 4: Simplify right side
    491.72x = 277,170.07
  5. Step 5: Solve for x
    x = 277,170.07/491.72
  6. Step 6: Final answer
    x = 563.67

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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.