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Finding the Fourth Proportional to 1,460.75, 2,189.59 and 638.80

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Solution

The fourth proportional to 1,460.75, 2,189.59 and 638.80 is: 957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.75 : 2,189.59 = 638.80 : x
  2. Step 2: Convert to fraction form
    1,460.75/2,189.59 = 638.80/x
  3. Step 3: Cross multiply
    1,460.75x = 2,189.59 × 638.80
  4. Step 4: Simplify right side
    1,460.75x = 1,398,710.09
  5. Step 5: Solve for x
    x = 1,398,710.09/1,460.75
  6. Step 6: Final answer
    x = 957.53

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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.