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Finding the Fourth Proportional to 825.51, 1,237.63 and 338.30

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Solution

The fourth proportional to 825.51, 1,237.63 and 338.30 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.51 : 1,237.63 = 338.30 : x
  2. Step 2: Convert to fraction form
    825.51/1,237.63 = 338.30/x
  3. Step 3: Cross multiply
    825.51x = 1,237.63 × 338.30
  4. Step 4: Simplify right side
    825.51x = 418,690.23
  5. Step 5: Solve for x
    x = 418,690.23/825.51
  6. Step 6: Final answer
    x = 507.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.