Home / 1,346.45-1,858.40-822.78

Finding the Fourth Proportional to 1,346.45, 1,858.40 and 822.78

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Solution

The fourth proportional to 1,346.45, 1,858.40 and 822.78 is: 1,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.45 : 1,858.40 = 822.78 : x
  2. Step 2: Convert to fraction form
    1,346.45/1,858.40 = 822.78/x
  3. Step 3: Cross multiply
    1,346.45x = 1,858.40 × 822.78
  4. Step 4: Simplify right side
    1,346.45x = 1,529,050.24
  5. Step 5: Solve for x
    x = 1,529,050.24/1,346.45
  6. Step 6: Final answer
    x = 1,135.62

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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.