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Finding the Fourth Proportional to 941.43, 1,410.32 and 454.82

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Solution

The fourth proportional to 941.43, 1,410.32 and 454.82 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.43 : 1,410.32 = 454.82 : x
  2. Step 2: Convert to fraction form
    941.43/1,410.32 = 454.82/x
  3. Step 3: Cross multiply
    941.43x = 1,410.32 × 454.82
  4. Step 4: Simplify right side
    941.43x = 641,442.99
  5. Step 5: Solve for x
    x = 641,442.99/941.43
  6. Step 6: Final answer
    x = 681.35

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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.