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Finding the Fourth Proportional to 507.51, 700.37 and 321.33

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Solution

The fourth proportional to 507.51, 700.37 and 321.33 is: 443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 700.37 = 321.33 : x
  2. Step 2: Convert to fraction form
    507.51/700.37 = 321.33/x
  3. Step 3: Cross multiply
    507.51x = 700.37 × 321.33
  4. Step 4: Simplify right side
    507.51x = 225,049.89
  5. Step 5: Solve for x
    x = 225,049.89/507.51
  6. Step 6: Final answer
    x = 443.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.