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Finding the Fourth Proportional to 654.07, 980.02 and 460.75

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Solution

The fourth proportional to 654.07, 980.02 and 460.75 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.07 : 980.02 = 460.75 : x
  2. Step 2: Convert to fraction form
    654.07/980.02 = 460.75/x
  3. Step 3: Cross multiply
    654.07x = 980.02 × 460.75
  4. Step 4: Simplify right side
    654.07x = 451,544.22
  5. Step 5: Solve for x
    x = 451,544.22/654.07
  6. Step 6: Final answer
    x = 690.36

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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.