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Finding the Fourth Proportional to 1,097.10, 1,515.42 and 888.66

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Solution

The fourth proportional to 1,097.10, 1,515.42 and 888.66 is: 1,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,515.42 = 888.66 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,515.42 = 888.66/x
  3. Step 3: Cross multiply
    1,097.10x = 1,515.42 × 888.66
  4. Step 4: Simplify right side
    1,097.10x = 1,346,693.14
  5. Step 5: Solve for x
    x = 1,346,693.14/1,097.10
  6. Step 6: Final answer
    x = 1,227.50

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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.