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Finding the Fourth Proportional to 829.52, 1,145.68 and 645.24

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Solution

The fourth proportional to 829.52, 1,145.68 and 645.24 is: 891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.52 : 1,145.68 = 645.24 : x
  2. Step 2: Convert to fraction form
    829.52/1,145.68 = 645.24/x
  3. Step 3: Cross multiply
    829.52x = 1,145.68 × 645.24
  4. Step 4: Simplify right side
    829.52x = 739,238.56
  5. Step 5: Solve for x
    x = 739,238.56/829.52
  6. Step 6: Final answer
    x = 891.16

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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.