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Finding the Fourth Proportional to 701.46, 1,056.31 and 611.21

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Solution

The fourth proportional to 701.46, 1,056.31 and 611.21 is: 920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 1,056.31 = 611.21 : x
  2. Step 2: Convert to fraction form
    701.46/1,056.31 = 611.21/x
  3. Step 3: Cross multiply
    701.46x = 1,056.31 × 611.21
  4. Step 4: Simplify right side
    701.46x = 645,628.35
  5. Step 5: Solve for x
    x = 645,628.35/701.46
  6. Step 6: Final answer
    x = 920.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.