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Finding the Fourth Proportional to 1,090.01, 1,504.46 and 642.08

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Solution

The fourth proportional to 1,090.01, 1,504.46 and 642.08 is: 886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.01 : 1,504.46 = 642.08 : x
  2. Step 2: Convert to fraction form
    1,090.01/1,504.46 = 642.08/x
  3. Step 3: Cross multiply
    1,090.01x = 1,504.46 × 642.08
  4. Step 4: Simplify right side
    1,090.01x = 965,983.68
  5. Step 5: Solve for x
    x = 965,983.68/1,090.01
  6. Step 6: Final answer
    x = 886.22

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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.