Home / 1,456.67-2,185.08-416.82

Finding the Fourth Proportional to 1,456.67, 2,185.08 and 416.82

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Solution

The fourth proportional to 1,456.67, 2,185.08 and 416.82 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.67 : 2,185.08 = 416.82 : x
  2. Step 2: Convert to fraction form
    1,456.67/2,185.08 = 416.82/x
  3. Step 3: Cross multiply
    1,456.67x = 2,185.08 × 416.82
  4. Step 4: Simplify right side
    1,456.67x = 910,783.48
  5. Step 5: Solve for x
    x = 910,783.48/1,456.67
  6. Step 6: Final answer
    x = 625.25

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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.