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Finding the Fourth Proportional to 992.06, 1,368.83 and 599.01

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Solution

The fourth proportional to 992.06, 1,368.83 and 599.01 is: 826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.06 : 1,368.83 = 599.01 : x
  2. Step 2: Convert to fraction form
    992.06/1,368.83 = 599.01/x
  3. Step 3: Cross multiply
    992.06x = 1,368.83 × 599.01
  4. Step 4: Simplify right side
    992.06x = 819,939.22
  5. Step 5: Solve for x
    x = 819,939.22/992.06
  6. Step 6: Final answer
    x = 826.50

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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.