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Finding the Fourth Proportional to 735.45, 1,015.06 and 436.56

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Solution

The fourth proportional to 735.45, 1,015.06 and 436.56 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,015.06 = 436.56 : x
  2. Step 2: Convert to fraction form
    735.45/1,015.06 = 436.56/x
  3. Step 3: Cross multiply
    735.45x = 1,015.06 × 436.56
  4. Step 4: Simplify right side
    735.45x = 443,137.85
  5. Step 5: Solve for x
    x = 443,137.85/735.45
  6. Step 6: Final answer
    x = 602.54

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1.5x scale

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.