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Finding the Fourth Proportional to 735.60, 1,015.06 and 420.80

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Solution

The fourth proportional to 735.60, 1,015.06 and 420.80 is: 580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.60 : 1,015.06 = 420.80 : x
  2. Step 2: Convert to fraction form
    735.60/1,015.06 = 420.80/x
  3. Step 3: Cross multiply
    735.60x = 1,015.06 × 420.80
  4. Step 4: Simplify right side
    735.60x = 427,137.25
  5. Step 5: Solve for x
    x = 427,137.25/735.60
  6. Step 6: Final answer
    x = 580.67

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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.