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Finding the Fourth Proportional to 1,090.82, 1,637.67 and 506.45

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Solution

The fourth proportional to 1,090.82, 1,637.67 and 506.45 is: 760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.82 : 1,637.67 = 506.45 : x
  2. Step 2: Convert to fraction form
    1,090.82/1,637.67 = 506.45/x
  3. Step 3: Cross multiply
    1,090.82x = 1,637.67 × 506.45
  4. Step 4: Simplify right side
    1,090.82x = 829,397.97
  5. Step 5: Solve for x
    x = 829,397.97/1,090.82
  6. Step 6: Final answer
    x = 760.34

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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.