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Finding the Fourth Proportional to 701.17, 1,050.94 and 289.78

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Solution

The fourth proportional to 701.17, 1,050.94 and 289.78 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.17 : 1,050.94 = 289.78 : x
  2. Step 2: Convert to fraction form
    701.17/1,050.94 = 289.78/x
  3. Step 3: Cross multiply
    701.17x = 1,050.94 × 289.78
  4. Step 4: Simplify right side
    701.17x = 304,541.39
  5. Step 5: Solve for x
    x = 304,541.39/701.17
  6. Step 6: Final answer
    x = 434.33

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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.