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Finding the Fourth Proportional to 707.66, 974.28 and 550.09

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Solution

The fourth proportional to 707.66, 974.28 and 550.09 is: 757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.66 : 974.28 = 550.09 : x
  2. Step 2: Convert to fraction form
    707.66/974.28 = 550.09/x
  3. Step 3: Cross multiply
    707.66x = 974.28 × 550.09
  4. Step 4: Simplify right side
    707.66x = 535,941.87
  5. Step 5: Solve for x
    x = 535,941.87/707.66
  6. Step 6: Final answer
    x = 757.34

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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.