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Finding the Fourth Proportional to 599.64, 899.06 and 325.04

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Solution

The fourth proportional to 599.64, 899.06 and 325.04 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 899.06 = 325.04 : x
  2. Step 2: Convert to fraction form
    599.64/899.06 = 325.04/x
  3. Step 3: Cross multiply
    599.64x = 899.06 × 325.04
  4. Step 4: Simplify right side
    599.64x = 292,230.46
  5. Step 5: Solve for x
    x = 292,230.46/599.64
  6. Step 6: Final answer
    x = 487.34

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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.