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Finding the Fourth Proportional to 1,200.99, 1,801.59 and 420.87

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Solution

The fourth proportional to 1,200.99, 1,801.59 and 420.87 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.99 : 1,801.59 = 420.87 : x
  2. Step 2: Convert to fraction form
    1,200.99/1,801.59 = 420.87/x
  3. Step 3: Cross multiply
    1,200.99x = 1,801.59 × 420.87
  4. Step 4: Simplify right side
    1,200.99x = 758,235.18
  5. Step 5: Solve for x
    x = 758,235.18/1,200.99
  6. Step 6: Final answer
    x = 631.34

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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.