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Finding the Fourth Proportional to 941.48, 1,411.60 and 454.07

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Solution

The fourth proportional to 941.48, 1,411.60 and 454.07 is: 680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.48 : 1,411.60 = 454.07 : x
  2. Step 2: Convert to fraction form
    941.48/1,411.60 = 454.07/x
  3. Step 3: Cross multiply
    941.48x = 1,411.60 × 454.07
  4. Step 4: Simplify right side
    941.48x = 640,965.21
  5. Step 5: Solve for x
    x = 640,965.21/941.48
  6. Step 6: Final answer
    x = 680.81

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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.