Home / 1,461.80-2,191.25-584.01

Finding the Fourth Proportional to 1,461.80, 2,191.25 and 584.01

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Solution

The fourth proportional to 1,461.80, 2,191.25 and 584.01 is: 875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.80 : 2,191.25 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,461.80/2,191.25 = 584.01/x
  3. Step 3: Cross multiply
    1,461.80x = 2,191.25 × 584.01
  4. Step 4: Simplify right side
    1,461.80x = 1,279,713.37
  5. Step 5: Solve for x
    x = 1,279,713.37/1,461.80
  6. Step 6: Final answer
    x = 875.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.