Home / 1,456.91-2,185.37-416.93

Finding the Fourth Proportional to 1,456.91, 2,185.37 and 416.93

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Solution

The fourth proportional to 1,456.91, 2,185.37 and 416.93 is: 625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.91 : 2,185.37 = 416.93 : x
  2. Step 2: Convert to fraction form
    1,456.91/2,185.37 = 416.93/x
  3. Step 3: Cross multiply
    1,456.91x = 2,185.37 × 416.93
  4. Step 4: Simplify right side
    1,456.91x = 911,133.30
  5. Step 5: Solve for x
    x = 911,133.30/1,456.91
  6. Step 6: Final answer
    x = 625.39

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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.