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Finding the Fourth Proportional to 980.23, 1,468.18 and 654.07

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Solution

The fourth proportional to 980.23, 1,468.18 and 654.07 is: 979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.23 : 1,468.18 = 654.07 : x
  2. Step 2: Convert to fraction form
    980.23/1,468.18 = 654.07/x
  3. Step 3: Cross multiply
    980.23x = 1,468.18 × 654.07
  4. Step 4: Simplify right side
    980.23x = 960,292.49
  5. Step 5: Solve for x
    x = 960,292.49/980.23
  6. Step 6: Final answer
    x = 979.66

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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.