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Finding the Fourth Proportional to 1,406.09, 2,109.36 and 528.66

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Solution

The fourth proportional to 1,406.09, 2,109.36 and 528.66 is: 793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.09 : 2,109.36 = 528.66 : x
  2. Step 2: Convert to fraction form
    1,406.09/2,109.36 = 528.66/x
  3. Step 3: Cross multiply
    1,406.09x = 2,109.36 × 528.66
  4. Step 4: Simplify right side
    1,406.09x = 1,115,134.26
  5. Step 5: Solve for x
    x = 1,115,134.26/1,406.09
  6. Step 6: Final answer
    x = 793.07

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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.