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Finding the Fourth Proportional to 1,563.95, 2,157.93 and 900.63

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Solution

The fourth proportional to 1,563.95, 2,157.93 and 900.63 is: 1,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.95 : 2,157.93 = 900.63 : x
  2. Step 2: Convert to fraction form
    1,563.95/2,157.93 = 900.63/x
  3. Step 3: Cross multiply
    1,563.95x = 2,157.93 × 900.63
  4. Step 4: Simplify right side
    1,563.95x = 1,943,496.50
  5. Step 5: Solve for x
    x = 1,943,496.50/1,563.95
  6. Step 6: Final answer
    x = 1,242.68

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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.