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Finding the Fourth Proportional to 1,420.99, 2,129.64 and 727.08

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Solution

The fourth proportional to 1,420.99, 2,129.64 and 727.08 is: 1,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.99 : 2,129.64 = 727.08 : x
  2. Step 2: Convert to fraction form
    1,420.99/2,129.64 = 727.08/x
  3. Step 3: Cross multiply
    1,420.99x = 2,129.64 × 727.08
  4. Step 4: Simplify right side
    1,420.99x = 1,548,412.03
  5. Step 5: Solve for x
    x = 1,548,412.03/1,420.99
  6. Step 6: Final answer
    x = 1,089.67

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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.