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Finding the Fourth Proportional to 1,461.58, 2,016.95 and 798.41

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Solution

The fourth proportional to 1,461.58, 2,016.95 and 798.41 is: 1,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.58 : 2,016.95 = 798.41 : x
  2. Step 2: Convert to fraction form
    1,461.58/2,016.95 = 798.41/x
  3. Step 3: Cross multiply
    1,461.58x = 2,016.95 × 798.41
  4. Step 4: Simplify right side
    1,461.58x = 1,610,354.10
  5. Step 5: Solve for x
    x = 1,610,354.10/1,461.58
  6. Step 6: Final answer
    x = 1,101.79

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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.