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Finding the Fourth Proportional to 420.74, 626.84 and 400.08

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Solution

The fourth proportional to 420.74, 626.84 and 400.08 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.74 : 626.84 = 400.08 : x
  2. Step 2: Convert to fraction form
    420.74/626.84 = 400.08/x
  3. Step 3: Cross multiply
    420.74x = 626.84 × 400.08
  4. Step 4: Simplify right side
    420.74x = 250,786.15
  5. Step 5: Solve for x
    x = 250,786.15/420.74
  6. Step 6: Final answer
    x = 596.06

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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.