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Finding the Fourth Proportional to 1,090.03, 1,638.10 and 651.34

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Solution

The fourth proportional to 1,090.03, 1,638.10 and 651.34 is: 978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.03 : 1,638.10 = 651.34 : x
  2. Step 2: Convert to fraction form
    1,090.03/1,638.10 = 651.34/x
  3. Step 3: Cross multiply
    1,090.03x = 1,638.10 × 651.34
  4. Step 4: Simplify right side
    1,090.03x = 1,066,961.08
  5. Step 5: Solve for x
    x = 1,066,961.08/1,090.03
  6. Step 6: Final answer
    x = 978.83

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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.