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Finding the Fourth Proportional to 1,410.16, 1,945.19 and 885.28

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Solution

The fourth proportional to 1,410.16, 1,945.19 and 885.28 is: 1,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.16 : 1,945.19 = 885.28 : x
  2. Step 2: Convert to fraction form
    1,410.16/1,945.19 = 885.28/x
  3. Step 3: Cross multiply
    1,410.16x = 1,945.19 × 885.28
  4. Step 4: Simplify right side
    1,410.16x = 1,722,037.80
  5. Step 5: Solve for x
    x = 1,722,037.80/1,410.16
  6. Step 6: Final answer
    x = 1,221.16

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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.