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Finding the Fourth Proportional to 1,090.34, 1,504.77 and 670.97

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Solution

The fourth proportional to 1,090.34, 1,504.77 and 670.97 is: 925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.34 : 1,504.77 = 670.97 : x
  2. Step 2: Convert to fraction form
    1,090.34/1,504.77 = 670.97/x
  3. Step 3: Cross multiply
    1,090.34x = 1,504.77 × 670.97
  4. Step 4: Simplify right side
    1,090.34x = 1,009,645.49
  5. Step 5: Solve for x
    x = 1,009,645.49/1,090.34
  6. Step 6: Final answer
    x = 925.99

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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.