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Finding the Fourth Proportional to 405.42, 604.77 and 400.14

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Solution

The fourth proportional to 405.42, 604.77 and 400.14 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 604.77 = 400.14 : x
  2. Step 2: Convert to fraction form
    405.42/604.77 = 400.14/x
  3. Step 3: Cross multiply
    405.42x = 604.77 × 400.14
  4. Step 4: Simplify right side
    405.42x = 241,992.67
  5. Step 5: Solve for x
    x = 241,992.67/405.42
  6. Step 6: Final answer
    x = 596.89

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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.