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Finding the Fourth Proportional to 1,563.33, 2,157.86 and 900.65

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Solution

The fourth proportional to 1,563.33, 2,157.86 and 900.65 is: 1,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.33 : 2,157.86 = 900.65 : x
  2. Step 2: Convert to fraction form
    1,563.33/2,157.86 = 900.65/x
  3. Step 3: Cross multiply
    1,563.33x = 2,157.86 × 900.65
  4. Step 4: Simplify right side
    1,563.33x = 1,943,484.26
  5. Step 5: Solve for x
    x = 1,943,484.26/1,563.33
  6. Step 6: Final answer
    x = 1,243.17

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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.