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Finding the Fourth Proportional to 659.97, 990.72 and 386.26

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Solution

The fourth proportional to 659.97, 990.72 and 386.26 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 990.72 = 386.26 : x
  2. Step 2: Convert to fraction form
    659.97/990.72 = 386.26/x
  3. Step 3: Cross multiply
    659.97x = 990.72 × 386.26
  4. Step 4: Simplify right side
    659.97x = 382,675.51
  5. Step 5: Solve for x
    x = 382,675.51/659.97
  6. Step 6: Final answer
    x = 579.84

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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.