Home / 1,410.25-1,946.49-820.90

Finding the Fourth Proportional to 1,410.25, 1,946.49 and 820.90

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Solution

The fourth proportional to 1,410.25, 1,946.49 and 820.90 is: 1,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.25 : 1,946.49 = 820.90 : x
  2. Step 2: Convert to fraction form
    1,410.25/1,946.49 = 820.90/x
  3. Step 3: Cross multiply
    1,410.25x = 1,946.49 × 820.90
  4. Step 4: Simplify right side
    1,410.25x = 1,597,873.64
  5. Step 5: Solve for x
    x = 1,597,873.64/1,410.25
  6. Step 6: Final answer
    x = 1,133.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.