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Finding the Fourth Proportional to 703.80, 971.64 and 494.62

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Solution

The fourth proportional to 703.80, 971.64 and 494.62 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.80 : 971.64 = 494.62 : x
  2. Step 2: Convert to fraction form
    703.80/971.64 = 494.62/x
  3. Step 3: Cross multiply
    703.80x = 971.64 × 494.62
  4. Step 4: Simplify right side
    703.80x = 480,592.58
  5. Step 5: Solve for x
    x = 480,592.58/703.80
  6. Step 6: Final answer
    x = 682.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.