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Finding the Fourth Proportional to 825.42, 1,238.14 and 583.06

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Solution

The fourth proportional to 825.42, 1,238.14 and 583.06 is: 874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.42 : 1,238.14 = 583.06 : x
  2. Step 2: Convert to fraction form
    825.42/1,238.14 = 583.06/x
  3. Step 3: Cross multiply
    825.42x = 1,238.14 × 583.06
  4. Step 4: Simplify right side
    825.42x = 721,909.91
  5. Step 5: Solve for x
    x = 721,909.91/825.42
  6. Step 6: Final answer
    x = 874.60

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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.