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Finding the Fourth Proportional to 489.38, 737.42 and 404.60

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Solution

The fourth proportional to 489.38, 737.42 and 404.60 is: 609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 737.42 = 404.60 : x
  2. Step 2: Convert to fraction form
    489.38/737.42 = 404.60/x
  3. Step 3: Cross multiply
    489.38x = 737.42 × 404.60
  4. Step 4: Simplify right side
    489.38x = 298,360.13
  5. Step 5: Solve for x
    x = 298,360.13/489.38
  6. Step 6: Final answer
    x = 609.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.