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Finding the Fourth Proportional to 699.58, 1,049.10 and 455.50

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Solution

The fourth proportional to 699.58, 1,049.10 and 455.50 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.58 : 1,049.10 = 455.50 : x
  2. Step 2: Convert to fraction form
    699.58/1,049.10 = 455.50/x
  3. Step 3: Cross multiply
    699.58x = 1,049.10 × 455.50
  4. Step 4: Simplify right side
    699.58x = 477,865.05
  5. Step 5: Solve for x
    x = 477,865.05/699.58
  6. Step 6: Final answer
    x = 683.07

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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.