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Finding the Fourth Proportional to 703.57, 1,056.05 and 664.62

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Solution

The fourth proportional to 703.57, 1,056.05 and 664.62 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.57 : 1,056.05 = 664.62 : x
  2. Step 2: Convert to fraction form
    703.57/1,056.05 = 664.62/x
  3. Step 3: Cross multiply
    703.57x = 1,056.05 × 664.62
  4. Step 4: Simplify right side
    703.57x = 701,871.95
  5. Step 5: Solve for x
    x = 701,871.95/703.57
  6. Step 6: Final answer
    x = 997.59

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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.