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Finding the Fourth Proportional to 699.56, 1,047.82 and 455.34

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Solution

The fourth proportional to 699.56, 1,047.82 and 455.34 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 1,047.82 = 455.34 : x
  2. Step 2: Convert to fraction form
    699.56/1,047.82 = 455.34/x
  3. Step 3: Cross multiply
    699.56x = 1,047.82 × 455.34
  4. Step 4: Simplify right side
    699.56x = 477,114.36
  5. Step 5: Solve for x
    x = 477,114.36/699.56
  6. Step 6: Final answer
    x = 682.02

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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.