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Finding the Fourth Proportional to 852.90, 1,280.70 and 623.40

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Solution

The fourth proportional to 852.90, 1,280.70 and 623.40 is: 936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.90 : 1,280.70 = 623.40 : x
  2. Step 2: Convert to fraction form
    852.90/1,280.70 = 623.40/x
  3. Step 3: Cross multiply
    852.90x = 1,280.70 × 623.40
  4. Step 4: Simplify right side
    852.90x = 798,388.38
  5. Step 5: Solve for x
    x = 798,388.38/852.90
  6. Step 6: Final answer
    x = 936.09

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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.