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Finding the Fourth Proportional to 941.72, 1,412.14 and 454.92

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Solution

The fourth proportional to 941.72, 1,412.14 and 454.92 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,412.14 = 454.92 : x
  2. Step 2: Convert to fraction form
    941.72/1,412.14 = 454.92/x
  3. Step 3: Cross multiply
    941.72x = 1,412.14 × 454.92
  4. Step 4: Simplify right side
    941.72x = 642,410.73
  5. Step 5: Solve for x
    x = 642,410.73/941.72
  6. Step 6: Final answer
    x = 682.17

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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.