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Finding the Fourth Proportional to 599.47, 899.30 and 339.84

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Solution

The fourth proportional to 599.47, 899.30 and 339.84 is: 509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.47 : 899.30 = 339.84 : x
  2. Step 2: Convert to fraction form
    599.47/899.30 = 339.84/x
  3. Step 3: Cross multiply
    599.47x = 899.30 × 339.84
  4. Step 4: Simplify right side
    599.47x = 305,618.96
  5. Step 5: Solve for x
    x = 305,618.96/599.47
  6. Step 6: Final answer
    x = 509.82

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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.