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Finding the Fourth Proportional to 1,159.70, 1,600.37 and 628.57

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Solution

The fourth proportional to 1,159.70, 1,600.37 and 628.57 is: 867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.70 : 1,600.37 = 628.57 : x
  2. Step 2: Convert to fraction form
    1,159.70/1,600.37 = 628.57/x
  3. Step 3: Cross multiply
    1,159.70x = 1,600.37 × 628.57
  4. Step 4: Simplify right side
    1,159.70x = 1,005,944.57
  5. Step 5: Solve for x
    x = 1,005,944.57/1,159.70
  6. Step 6: Final answer
    x = 867.42

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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.