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Finding the Fourth Proportional to 589.64, 881.07 and 450.05

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Solution

The fourth proportional to 589.64, 881.07 and 450.05 is: 672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 881.07 = 450.05 : x
  2. Step 2: Convert to fraction form
    589.64/881.07 = 450.05/x
  3. Step 3: Cross multiply
    589.64x = 881.07 × 450.05
  4. Step 4: Simplify right side
    589.64x = 396,519.46
  5. Step 5: Solve for x
    x = 396,519.46/589.64
  6. Step 6: Final answer
    x = 672.48

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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.