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Finding the Fourth Proportional to 1,090.20, 1,497.30 and 1,009.20

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Solution

The fourth proportional to 1,090.20, 1,497.30 and 1,009.20 is: 1,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.20 : 1,497.30 = 1,009.20 : x
  2. Step 2: Convert to fraction form
    1,090.20/1,497.30 = 1,009.20/x
  3. Step 3: Cross multiply
    1,090.20x = 1,497.30 × 1,009.20
  4. Step 4: Simplify right side
    1,090.20x = 1,511,075.16
  5. Step 5: Solve for x
    x = 1,511,075.16/1,090.20
  6. Step 6: Final answer
    x = 1,386.05

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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.