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Finding the Fourth Proportional to 1,190.50, 1,643.25 and 776.50

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Solution

The fourth proportional to 1,190.50, 1,643.25 and 776.50 is: 1,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.50 : 1,643.25 = 776.50 : x
  2. Step 2: Convert to fraction form
    1,190.50/1,643.25 = 776.50/x
  3. Step 3: Cross multiply
    1,190.50x = 1,643.25 × 776.50
  4. Step 4: Simplify right side
    1,190.50x = 1,275,983.63
  5. Step 5: Solve for x
    x = 1,275,983.63/1,190.50
  6. Step 6: Final answer
    x = 1,071.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.