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Finding the Fourth Proportional to 941.13, 1,410.75 and 453.91

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Solution

The fourth proportional to 941.13, 1,410.75 and 453.91 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.13 : 1,410.75 = 453.91 : x
  2. Step 2: Convert to fraction form
    941.13/1,410.75 = 453.91/x
  3. Step 3: Cross multiply
    941.13x = 1,410.75 × 453.91
  4. Step 4: Simplify right side
    941.13x = 640,353.53
  5. Step 5: Solve for x
    x = 640,353.53/941.13
  6. Step 6: Final answer
    x = 680.41

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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.