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Finding the Fourth Proportional to 754.84, 1,043.42 and 629.77

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Solution

The fourth proportional to 754.84, 1,043.42 and 629.77 is: 870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.84 : 1,043.42 = 629.77 : x
  2. Step 2: Convert to fraction form
    754.84/1,043.42 = 629.77/x
  3. Step 3: Cross multiply
    754.84x = 1,043.42 × 629.77
  4. Step 4: Simplify right side
    754.84x = 657,106.25
  5. Step 5: Solve for x
    x = 657,106.25/754.84
  6. Step 6: Final answer
    x = 870.53

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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.