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Finding the Fourth Proportional to 451.18, 672.83 and 401.40

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Solution

The fourth proportional to 451.18, 672.83 and 401.40 is: 598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.18 : 672.83 = 401.40 : x
  2. Step 2: Convert to fraction form
    451.18/672.83 = 401.40/x
  3. Step 3: Cross multiply
    451.18x = 672.83 × 401.40
  4. Step 4: Simplify right side
    451.18x = 270,076.74
  5. Step 5: Solve for x
    x = 270,076.74/451.18
  6. Step 6: Final answer
    x = 598.60

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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.