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Finding the Fourth Proportional to 694.52, 1,041.44 and 255.47

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Solution

The fourth proportional to 694.52, 1,041.44 and 255.47 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.52 : 1,041.44 = 255.47 : x
  2. Step 2: Convert to fraction form
    694.52/1,041.44 = 255.47/x
  3. Step 3: Cross multiply
    694.52x = 1,041.44 × 255.47
  4. Step 4: Simplify right side
    694.52x = 266,052.11
  5. Step 5: Solve for x
    x = 266,052.11/694.52
  6. Step 6: Final answer
    x = 383.08

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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.