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Finding the Fourth Proportional to 1,461.88, 2,017.41 and 798.75

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Solution

The fourth proportional to 1,461.88, 2,017.41 and 798.75 is: 1,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.88 : 2,017.41 = 798.75 : x
  2. Step 2: Convert to fraction form
    1,461.88/2,017.41 = 798.75/x
  3. Step 3: Cross multiply
    1,461.88x = 2,017.41 × 798.75
  4. Step 4: Simplify right side
    1,461.88x = 1,611,406.24
  5. Step 5: Solve for x
    x = 1,611,406.24/1,461.88
  6. Step 6: Final answer
    x = 1,102.28

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1.5x scale

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.