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Finding the Fourth Proportional to 786.77, 1,179.48 and 300.17

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Solution

The fourth proportional to 786.77, 1,179.48 and 300.17 is: 450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.77 : 1,179.48 = 300.17 : x
  2. Step 2: Convert to fraction form
    786.77/1,179.48 = 300.17/x
  3. Step 3: Cross multiply
    786.77x = 1,179.48 × 300.17
  4. Step 4: Simplify right side
    786.77x = 354,044.51
  5. Step 5: Solve for x
    x = 354,044.51/786.77
  6. Step 6: Final answer
    x = 450.00

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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.