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Finding the Fourth Proportional to 1,095.17, 1,650.06 and 991.18

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Solution

The fourth proportional to 1,095.17, 1,650.06 and 991.18 is: 1,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.17 : 1,650.06 = 991.18 : x
  2. Step 2: Convert to fraction form
    1,095.17/1,650.06 = 991.18/x
  3. Step 3: Cross multiply
    1,095.17x = 1,650.06 × 991.18
  4. Step 4: Simplify right side
    1,095.17x = 1,635,506.47
  5. Step 5: Solve for x
    x = 1,635,506.47/1,095.17
  6. Step 6: Final answer
    x = 1,493.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.