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Finding the Fourth Proportional to 1,281.02, 1,920.01 and 733.58

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Solution

The fourth proportional to 1,281.02, 1,920.01 and 733.58 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.02 : 1,920.01 = 733.58 : x
  2. Step 2: Convert to fraction form
    1,281.02/1,920.01 = 733.58/x
  3. Step 3: Cross multiply
    1,281.02x = 1,920.01 × 733.58
  4. Step 4: Simplify right side
    1,281.02x = 1,408,480.94
  5. Step 5: Solve for x
    x = 1,408,480.94/1,281.02
  6. Step 6: Final answer
    x = 1,099.50

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1.5x scale

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.