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Finding the Fourth Proportional to 405.21, 602.96 and 403.84

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Solution

The fourth proportional to 405.21, 602.96 and 403.84 is: 600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.21 : 602.96 = 403.84 : x
  2. Step 2: Convert to fraction form
    405.21/602.96 = 403.84/x
  3. Step 3: Cross multiply
    405.21x = 602.96 × 403.84
  4. Step 4: Simplify right side
    405.21x = 243,499.37
  5. Step 5: Solve for x
    x = 243,499.37/405.21
  6. Step 6: Final answer
    x = 600.93

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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.