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Finding the Fourth Proportional to 941.34, 1,410.55 and 453.72

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Solution

The fourth proportional to 941.34, 1,410.55 and 453.72 is: 679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.34 : 1,410.55 = 453.72 : x
  2. Step 2: Convert to fraction form
    941.34/1,410.55 = 453.72/x
  3. Step 3: Cross multiply
    941.34x = 1,410.55 × 453.72
  4. Step 4: Simplify right side
    941.34x = 639,994.75
  5. Step 5: Solve for x
    x = 639,994.75/941.34
  6. Step 6: Final answer
    x = 679.88

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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.