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Finding the Fourth Proportional to 599.52, 900.24 and 405.84

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Solution

The fourth proportional to 599.52, 900.24 and 405.84 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 900.24 = 405.84 : x
  2. Step 2: Convert to fraction form
    599.52/900.24 = 405.84/x
  3. Step 3: Cross multiply
    599.52x = 900.24 × 405.84
  4. Step 4: Simplify right side
    599.52x = 365,353.40
  5. Step 5: Solve for x
    x = 365,353.40/599.52
  6. Step 6: Final answer
    x = 609.41

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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.