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Finding the Fourth Proportional to 1,175.72, 1,754.99 and 1,090.06

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Solution

The fourth proportional to 1,175.72, 1,754.99 and 1,090.06 is: 1,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.72 : 1,754.99 = 1,090.06 : x
  2. Step 2: Convert to fraction form
    1,175.72/1,754.99 = 1,090.06/x
  3. Step 3: Cross multiply
    1,175.72x = 1,754.99 × 1,090.06
  4. Step 4: Simplify right side
    1,175.72x = 1,913,044.40
  5. Step 5: Solve for x
    x = 1,913,044.40/1,175.72
  6. Step 6: Final answer
    x = 1,627.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.