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Finding the Fourth Proportional to 830.03, 1,244.04 and 367.29

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Solution

The fourth proportional to 830.03, 1,244.04 and 367.29 is: 550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.03 : 1,244.04 = 367.29 : x
  2. Step 2: Convert to fraction form
    830.03/1,244.04 = 367.29/x
  3. Step 3: Cross multiply
    830.03x = 1,244.04 × 367.29
  4. Step 4: Simplify right side
    830.03x = 456,923.45
  5. Step 5: Solve for x
    x = 456,923.45/830.03
  6. Step 6: Final answer
    x = 550.49

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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.