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Finding the Fourth Proportional to 405.64, 604.90 and 383.42

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Solution

The fourth proportional to 405.64, 604.90 and 383.42 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.64 : 604.90 = 383.42 : x
  2. Step 2: Convert to fraction form
    405.64/604.90 = 383.42/x
  3. Step 3: Cross multiply
    405.64x = 604.90 × 383.42
  4. Step 4: Simplify right side
    405.64x = 231,930.76
  5. Step 5: Solve for x
    x = 231,930.76/405.64
  6. Step 6: Final answer
    x = 571.77

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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.