Home / 1,456.80-2,184.87-416.78

Finding the Fourth Proportional to 1,456.80, 2,184.87 and 416.78

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Solution

The fourth proportional to 1,456.80, 2,184.87 and 416.78 is: 625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.80 : 2,184.87 = 416.78 : x
  2. Step 2: Convert to fraction form
    1,456.80/2,184.87 = 416.78/x
  3. Step 3: Cross multiply
    1,456.80x = 2,184.87 × 416.78
  4. Step 4: Simplify right side
    1,456.80x = 910,610.12
  5. Step 5: Solve for x
    x = 910,610.12/1,456.80
  6. Step 6: Final answer
    x = 625.08

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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.