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Finding the Fourth Proportional to 1,090.72, 1,509.06 and 1,050.22

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Solution

The fourth proportional to 1,090.72, 1,509.06 and 1,050.22 is: 1,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.72 : 1,509.06 = 1,050.22 : x
  2. Step 2: Convert to fraction form
    1,090.72/1,509.06 = 1,050.22/x
  3. Step 3: Cross multiply
    1,090.72x = 1,509.06 × 1,050.22
  4. Step 4: Simplify right side
    1,090.72x = 1,584,844.99
  5. Step 5: Solve for x
    x = 1,584,844.99/1,090.72
  6. Step 6: Final answer
    x = 1,453.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.