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Finding the Fourth Proportional to 786.00, 1,177.88 and 578.94

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Solution

The fourth proportional to 786.00, 1,177.88 and 578.94 is: 867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.00 : 1,177.88 = 578.94 : x
  2. Step 2: Convert to fraction form
    786.00/1,177.88 = 578.94/x
  3. Step 3: Cross multiply
    786.00x = 1,177.88 × 578.94
  4. Step 4: Simplify right side
    786.00x = 681,918.95
  5. Step 5: Solve for x
    x = 681,918.95/786.00
  6. Step 6: Final answer
    x = 867.59

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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.