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Finding the Fourth Proportional to 1,200.89, 1,801.15 and 420.83

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Solution

The fourth proportional to 1,200.89, 1,801.15 and 420.83 is: 631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.89 : 1,801.15 = 420.83 : x
  2. Step 2: Convert to fraction form
    1,200.89/1,801.15 = 420.83/x
  3. Step 3: Cross multiply
    1,200.89x = 1,801.15 × 420.83
  4. Step 4: Simplify right side
    1,200.89x = 757,974.65
  5. Step 5: Solve for x
    x = 757,974.65/1,200.89
  6. Step 6: Final answer
    x = 631.18

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Double scale
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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.