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Finding the Fourth Proportional to 1,280.35, 1,920.23 and 500.37

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Solution

The fourth proportional to 1,280.35, 1,920.23 and 500.37 is: 750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.35 : 1,920.23 = 500.37 : x
  2. Step 2: Convert to fraction form
    1,280.35/1,920.23 = 500.37/x
  3. Step 3: Cross multiply
    1,280.35x = 1,920.23 × 500.37
  4. Step 4: Simplify right side
    1,280.35x = 960,825.49
  5. Step 5: Solve for x
    x = 960,825.49/1,280.35
  6. Step 6: Final answer
    x = 750.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.