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Finding the Fourth Proportional to 1,036.65, 1,431.77 and 898.05

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Solution

The fourth proportional to 1,036.65, 1,431.77 and 898.05 is: 1,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.65 : 1,431.77 = 898.05 : x
  2. Step 2: Convert to fraction form
    1,036.65/1,431.77 = 898.05/x
  3. Step 3: Cross multiply
    1,036.65x = 1,431.77 × 898.05
  4. Step 4: Simplify right side
    1,036.65x = 1,285,796.56
  5. Step 5: Solve for x
    x = 1,285,796.56/1,036.65
  6. Step 6: Final answer
    x = 1,240.34

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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.