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Finding the Fourth Proportional to 609.40, 840.98 and 360.63

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Solution

The fourth proportional to 609.40, 840.98 and 360.63 is: 497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 840.98 = 360.63 : x
  2. Step 2: Convert to fraction form
    609.40/840.98 = 360.63/x
  3. Step 3: Cross multiply
    609.40x = 840.98 × 360.63
  4. Step 4: Simplify right side
    609.40x = 303,281.15
  5. Step 5: Solve for x
    x = 303,281.15/609.40
  6. Step 6: Final answer
    x = 497.67

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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.