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Finding the Fourth Proportional to 700.64, 1,049.94 and 623.76

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Solution

The fourth proportional to 700.64, 1,049.94 and 623.76 is: 934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.64 : 1,049.94 = 623.76 : x
  2. Step 2: Convert to fraction form
    700.64/1,049.94 = 623.76/x
  3. Step 3: Cross multiply
    700.64x = 1,049.94 × 623.76
  4. Step 4: Simplify right side
    700.64x = 654,910.57
  5. Step 5: Solve for x
    x = 654,910.57/700.64
  6. Step 6: Final answer
    x = 934.73

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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.