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Finding the Fourth Proportional to 980.30, 1,470.15 and 518.00

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Solution

The fourth proportional to 980.30, 1,470.15 and 518.00 is: 776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.30 : 1,470.15 = 518.00 : x
  2. Step 2: Convert to fraction form
    980.30/1,470.15 = 518.00/x
  3. Step 3: Cross multiply
    980.30x = 1,470.15 × 518.00
  4. Step 4: Simplify right side
    980.30x = 761,530.35
  5. Step 5: Solve for x
    x = 761,530.35/980.30
  6. Step 6: Final answer
    x = 776.83

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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.