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Finding the Fourth Proportional to 659.02, 980.45 and 620.14

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Solution

The fourth proportional to 659.02, 980.45 and 620.14 is: 922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 980.45 = 620.14 : x
  2. Step 2: Convert to fraction form
    659.02/980.45 = 620.14/x
  3. Step 3: Cross multiply
    659.02x = 980.45 × 620.14
  4. Step 4: Simplify right side
    659.02x = 608,016.26
  5. Step 5: Solve for x
    x = 608,016.26/659.02
  6. Step 6: Final answer
    x = 922.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.