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Finding the Fourth Proportional to 1,090.46, 1,504.07 and 648

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Solution

The fourth proportional to 1,090.46, 1,504.07 and 648 is: 893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.46 : 1,504.07 = 648 : x
  2. Step 2: Convert to fraction form
    1,090.46/1,504.07 = 648/x
  3. Step 3: Cross multiply
    1,090.46x = 1,504.07 × 648
  4. Step 4: Simplify right side
    1,090.46x = 974,636.55
  5. Step 5: Solve for x
    x = 974,636.55/1,090.46
  6. Step 6: Final answer
    x = 893.78

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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.