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Finding the Fourth Proportional to 992.70, 1,483.74 and 774

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Solution

The fourth proportional to 992.70, 1,483.74 and 774 is: 1,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.70 : 1,483.74 = 774 : x
  2. Step 2: Convert to fraction form
    992.70/1,483.74 = 774/x
  3. Step 3: Cross multiply
    992.70x = 1,483.74 × 774
  4. Step 4: Simplify right side
    992.70x = 1,148,414.76
  5. Step 5: Solve for x
    x = 1,148,414.76/992.70
  6. Step 6: Final answer
    x = 1,156.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.