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Finding the Fourth Proportional to 659.20, 982.82 and 642.10

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Solution

The fourth proportional to 659.20, 982.82 and 642.10 is: 957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 982.82 = 642.10 : x
  2. Step 2: Convert to fraction form
    659.20/982.82 = 642.10/x
  3. Step 3: Cross multiply
    659.20x = 982.82 × 642.10
  4. Step 4: Simplify right side
    659.20x = 631,068.72
  5. Step 5: Solve for x
    x = 631,068.72/659.20
  6. Step 6: Final answer
    x = 957.33

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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.