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Finding the Fourth Proportional to 599.85, 899.71 and 209.81

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Solution

The fourth proportional to 599.85, 899.71 and 209.81 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.85 : 899.71 = 209.81 : x
  2. Step 2: Convert to fraction form
    599.85/899.71 = 209.81/x
  3. Step 3: Cross multiply
    599.85x = 899.71 × 209.81
  4. Step 4: Simplify right side
    599.85x = 188,767.11
  5. Step 5: Solve for x
    x = 188,767.11/599.85
  6. Step 6: Final answer
    x = 314.69

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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.