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Finding the Fourth Proportional to 980.01, 1,470.08 and 286.68

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Solution

The fourth proportional to 980.01, 1,470.08 and 286.68 is: 430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.01 : 1,470.08 = 286.68 : x
  2. Step 2: Convert to fraction form
    980.01/1,470.08 = 286.68/x
  3. Step 3: Cross multiply
    980.01x = 1,470.08 × 286.68
  4. Step 4: Simplify right side
    980.01x = 421,443.25
  5. Step 5: Solve for x
    x = 421,443.25/980.01
  6. Step 6: Final answer
    x = 430.04

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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.