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Finding the Fourth Proportional to 600.60, 899.46 and 407.64

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Solution

The fourth proportional to 600.60, 899.46 and 407.64 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.60 : 899.46 = 407.64 : x
  2. Step 2: Convert to fraction form
    600.60/899.46 = 407.64/x
  3. Step 3: Cross multiply
    600.60x = 899.46 × 407.64
  4. Step 4: Simplify right side
    600.60x = 366,655.87
  5. Step 5: Solve for x
    x = 366,655.87/600.60
  6. Step 6: Final answer
    x = 610.48

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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.