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Finding the Fourth Proportional to 1,036.33, 1,431.21 and 888.10

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Solution

The fourth proportional to 1,036.33, 1,431.21 and 888.10 is: 1,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.33 : 1,431.21 = 888.10 : x
  2. Step 2: Convert to fraction form
    1,036.33/1,431.21 = 888.10/x
  3. Step 3: Cross multiply
    1,036.33x = 1,431.21 × 888.10
  4. Step 4: Simplify right side
    1,036.33x = 1,271,057.60
  5. Step 5: Solve for x
    x = 1,271,057.60/1,036.33
  6. Step 6: Final answer
    x = 1,226.50

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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.