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Finding the Fourth Proportional to 589.82, 881.20 and 440.94

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Solution

The fourth proportional to 589.82, 881.20 and 440.94 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.82 : 881.20 = 440.94 : x
  2. Step 2: Convert to fraction form
    589.82/881.20 = 440.94/x
  3. Step 3: Cross multiply
    589.82x = 881.20 × 440.94
  4. Step 4: Simplify right side
    589.82x = 388,556.33
  5. Step 5: Solve for x
    x = 388,556.33/589.82
  6. Step 6: Final answer
    x = 658.77

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1.5x scale

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.