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Finding the Fourth Proportional to 735.56, 1,015.09 and 404.00

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Solution

The fourth proportional to 735.56, 1,015.09 and 404.00 is: 557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.56 : 1,015.09 = 404.00 : x
  2. Step 2: Convert to fraction form
    735.56/1,015.09 = 404.00/x
  3. Step 3: Cross multiply
    735.56x = 1,015.09 × 404.00
  4. Step 4: Simplify right side
    735.56x = 410,090.27
  5. Step 5: Solve for x
    x = 410,090.27/735.56
  6. Step 6: Final answer
    x = 557.52

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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.