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Finding the Fourth Proportional to 701.68, 1,048.84 and 494.86

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Solution

The fourth proportional to 701.68, 1,048.84 and 494.86 is: 739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 1,048.84 = 494.86 : x
  2. Step 2: Convert to fraction form
    701.68/1,048.84 = 494.86/x
  3. Step 3: Cross multiply
    701.68x = 1,048.84 × 494.86
  4. Step 4: Simplify right side
    701.68x = 519,028.96
  5. Step 5: Solve for x
    x = 519,028.96/701.68
  6. Step 6: Final answer
    x = 739.69

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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.