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Finding the Fourth Proportional to 704.38, 1,050.78 and 623.21

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Solution

The fourth proportional to 704.38, 1,050.78 and 623.21 is: 929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.38 : 1,050.78 = 623.21 : x
  2. Step 2: Convert to fraction form
    704.38/1,050.78 = 623.21/x
  3. Step 3: Cross multiply
    704.38x = 1,050.78 × 623.21
  4. Step 4: Simplify right side
    704.38x = 654,856.60
  5. Step 5: Solve for x
    x = 654,856.60/704.38
  6. Step 6: Final answer
    x = 929.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.