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Finding the Fourth Proportional to 446.90, 672.15 and 400.10

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Solution

The fourth proportional to 446.90, 672.15 and 400.10 is: 601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.90 : 672.15 = 400.10 : x
  2. Step 2: Convert to fraction form
    446.90/672.15 = 400.10/x
  3. Step 3: Cross multiply
    446.90x = 672.15 × 400.10
  4. Step 4: Simplify right side
    446.90x = 268,927.22
  5. Step 5: Solve for x
    x = 268,927.22/446.90
  6. Step 6: Final answer
    x = 601.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.