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Finding the Fourth Proportional to 786.83, 1,087.28 and 599.99

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Solution

The fourth proportional to 786.83, 1,087.28 and 599.99 is: 829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,087.28 = 599.99 : x
  2. Step 2: Convert to fraction form
    786.83/1,087.28 = 599.99/x
  3. Step 3: Cross multiply
    786.83x = 1,087.28 × 599.99
  4. Step 4: Simplify right side
    786.83x = 652,348.69
  5. Step 5: Solve for x
    x = 652,348.69/786.83
  6. Step 6: Final answer
    x = 829.09

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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.