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Finding the Fourth Proportional to 992.07, 1,486.18 and 769.87

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Solution

The fourth proportional to 992.07, 1,486.18 and 769.87 is: 1,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.07 : 1,486.18 = 769.87 : x
  2. Step 2: Convert to fraction form
    992.07/1,486.18 = 769.87/x
  3. Step 3: Cross multiply
    992.07x = 1,486.18 × 769.87
  4. Step 4: Simplify right side
    992.07x = 1,144,165.40
  5. Step 5: Solve for x
    x = 1,144,165.40/992.07
  6. Step 6: Final answer
    x = 1,153.31

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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.