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Finding the Fourth Proportional to 1,285.62, 1,928.19 and 626.84

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Solution

The fourth proportional to 1,285.62, 1,928.19 and 626.84 is: 940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.62 : 1,928.19 = 626.84 : x
  2. Step 2: Convert to fraction form
    1,285.62/1,928.19 = 626.84/x
  3. Step 3: Cross multiply
    1,285.62x = 1,928.19 × 626.84
  4. Step 4: Simplify right side
    1,285.62x = 1,208,658.61
  5. Step 5: Solve for x
    x = 1,208,658.61/1,285.62
  6. Step 6: Final answer
    x = 940.14

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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.