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Finding the Fourth Proportional to 708.93, 977.78 and 629.26

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Solution

The fourth proportional to 708.93, 977.78 and 629.26 is: 867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.93 : 977.78 = 629.26 : x
  2. Step 2: Convert to fraction form
    708.93/977.78 = 629.26/x
  3. Step 3: Cross multiply
    708.93x = 977.78 × 629.26
  4. Step 4: Simplify right side
    708.93x = 615,272.95
  5. Step 5: Solve for x
    x = 615,272.95/708.93
  6. Step 6: Final answer
    x = 867.90

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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.