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Finding the Fourth Proportional to 730.18, 1,090.07 and 704.55

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Solution

The fourth proportional to 730.18, 1,090.07 and 704.55 is: 1,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.18 : 1,090.07 = 704.55 : x
  2. Step 2: Convert to fraction form
    730.18/1,090.07 = 704.55/x
  3. Step 3: Cross multiply
    730.18x = 1,090.07 × 704.55
  4. Step 4: Simplify right side
    730.18x = 768,015.99
  5. Step 5: Solve for x
    x = 768,015.99/730.18
  6. Step 6: Final answer
    x = 1,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.