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Finding the Fourth Proportional to 1,153.40, 1,591.70 and 629.46

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Solution

The fourth proportional to 1,153.40, 1,591.70 and 629.46 is: 868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.40 : 1,591.70 = 629.46 : x
  2. Step 2: Convert to fraction form
    1,153.40/1,591.70 = 629.46/x
  3. Step 3: Cross multiply
    1,153.40x = 1,591.70 × 629.46
  4. Step 4: Simplify right side
    1,153.40x = 1,001,908.33
  5. Step 5: Solve for x
    x = 1,001,908.33/1,153.40
  6. Step 6: Final answer
    x = 868.66

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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.