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Finding the Fourth Proportional to 980.12, 1,468.56 and 614.00

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Solution

The fourth proportional to 980.12, 1,468.56 and 614.00 is: 919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.12 : 1,468.56 = 614.00 : x
  2. Step 2: Convert to fraction form
    980.12/1,468.56 = 614.00/x
  3. Step 3: Cross multiply
    980.12x = 1,468.56 × 614.00
  4. Step 4: Simplify right side
    980.12x = 901,701.81
  5. Step 5: Solve for x
    x = 901,701.81/980.12
  6. Step 6: Final answer
    x = 919.99

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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.