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Finding the Fourth Proportional to 1,129.63, 1,558.91 and 632.26

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Solution

The fourth proportional to 1,129.63, 1,558.91 and 632.26 is: 872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.63 : 1,558.91 = 632.26 : x
  2. Step 2: Convert to fraction form
    1,129.63/1,558.91 = 632.26/x
  3. Step 3: Cross multiply
    1,129.63x = 1,558.91 × 632.26
  4. Step 4: Simplify right side
    1,129.63x = 985,639.97
  5. Step 5: Solve for x
    x = 985,639.97/1,129.63
  6. Step 6: Final answer
    x = 872.54

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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.