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Finding the Fourth Proportional to 589.98, 881.57 and 450.36

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Solution

The fourth proportional to 589.98, 881.57 and 450.36 is: 672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.98 : 881.57 = 450.36 : x
  2. Step 2: Convert to fraction form
    589.98/881.57 = 450.36/x
  3. Step 3: Cross multiply
    589.98x = 881.57 × 450.36
  4. Step 4: Simplify right side
    589.98x = 397,022.79
  5. Step 5: Solve for x
    x = 397,022.79/589.98
  6. Step 6: Final answer
    x = 672.94

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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.