Home / 1,090.46-1,499.29-971.33

Finding the Fourth Proportional to 1,090.46, 1,499.29 and 971.33

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Solution

The fourth proportional to 1,090.46, 1,499.29 and 971.33 is: 1,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.46 : 1,499.29 = 971.33 : x
  2. Step 2: Convert to fraction form
    1,090.46/1,499.29 = 971.33/x
  3. Step 3: Cross multiply
    1,090.46x = 1,499.29 × 971.33
  4. Step 4: Simplify right side
    1,090.46x = 1,456,305.36
  5. Step 5: Solve for x
    x = 1,456,305.36/1,090.46
  6. Step 6: Final answer
    x = 1,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.