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Finding the Fourth Proportional to 1,280.67, 1,923.45 and 733.92

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Solution

The fourth proportional to 1,280.67, 1,923.45 and 733.92 is: 1,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.67 : 1,923.45 = 733.92 : x
  2. Step 2: Convert to fraction form
    1,280.67/1,923.45 = 733.92/x
  3. Step 3: Cross multiply
    1,280.67x = 1,923.45 × 733.92
  4. Step 4: Simplify right side
    1,280.67x = 1,411,658.42
  5. Step 5: Solve for x
    x = 1,411,658.42/1,280.67
  6. Step 6: Final answer
    x = 1,102.28

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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.