Home / 1,569.14-2,165.16-905.85

Finding the Fourth Proportional to 1,569.14, 2,165.16 and 905.85

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Solution

The fourth proportional to 1,569.14, 2,165.16 and 905.85 is: 1,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.14 : 2,165.16 = 905.85 : x
  2. Step 2: Convert to fraction form
    1,569.14/2,165.16 = 905.85/x
  3. Step 3: Cross multiply
    1,569.14x = 2,165.16 × 905.85
  4. Step 4: Simplify right side
    1,569.14x = 1,961,313.58
  5. Step 5: Solve for x
    x = 1,961,313.58/1,569.14
  6. Step 6: Final answer
    x = 1,249.93

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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.