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Finding the Fourth Proportional to 700.72, 1,050.70 and 453.90

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Solution

The fourth proportional to 700.72, 1,050.70 and 453.90 is: 680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.72 : 1,050.70 = 453.90 : x
  2. Step 2: Convert to fraction form
    700.72/1,050.70 = 453.90/x
  3. Step 3: Cross multiply
    700.72x = 1,050.70 × 453.90
  4. Step 4: Simplify right side
    700.72x = 476,912.73
  5. Step 5: Solve for x
    x = 476,912.73/700.72
  6. Step 6: Final answer
    x = 680.60

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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.