Home / 1,456.30-2,184.12-416.28

Finding the Fourth Proportional to 1,456.30, 2,184.12 and 416.28

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Solution

The fourth proportional to 1,456.30, 2,184.12 and 416.28 is: 624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.30 : 2,184.12 = 416.28 : x
  2. Step 2: Convert to fraction form
    1,456.30/2,184.12 = 416.28/x
  3. Step 3: Cross multiply
    1,456.30x = 2,184.12 × 416.28
  4. Step 4: Simplify right side
    1,456.30x = 909,205.47
  5. Step 5: Solve for x
    x = 909,205.47/1,456.30
  6. Step 6: Final answer
    x = 624.33

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1.5x scale

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.