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Finding the Fourth Proportional to 707.60, 969.18 and 667.72

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Solution

The fourth proportional to 707.60, 969.18 and 667.72 is: 914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.60 : 969.18 = 667.72 : x
  2. Step 2: Convert to fraction form
    707.60/969.18 = 667.72/x
  3. Step 3: Cross multiply
    707.60x = 969.18 × 667.72
  4. Step 4: Simplify right side
    707.60x = 647,140.87
  5. Step 5: Solve for x
    x = 647,140.87/707.60
  6. Step 6: Final answer
    x = 914.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.