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Finding the Fourth Proportional to 703.56, 971.18 and 629.74

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Solution

The fourth proportional to 703.56, 971.18 and 629.74 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.56 : 971.18 = 629.74 : x
  2. Step 2: Convert to fraction form
    703.56/971.18 = 629.74/x
  3. Step 3: Cross multiply
    703.56x = 971.18 × 629.74
  4. Step 4: Simplify right side
    703.56x = 611,590.89
  5. Step 5: Solve for x
    x = 611,590.89/703.56
  6. Step 6: Final answer
    x = 869.28

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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.