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Finding the Fourth Proportional to 450.18, 672.25 and 389.46

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Solution

The fourth proportional to 450.18, 672.25 and 389.46 is: 581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.18 : 672.25 = 389.46 : x
  2. Step 2: Convert to fraction form
    450.18/672.25 = 389.46/x
  3. Step 3: Cross multiply
    450.18x = 672.25 × 389.46
  4. Step 4: Simplify right side
    450.18x = 261,814.49
  5. Step 5: Solve for x
    x = 261,814.49/450.18
  6. Step 6: Final answer
    x = 581.58

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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.