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Finding the Fourth Proportional to 829.74, 1,145.31 and 534.78

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Solution

The fourth proportional to 829.74, 1,145.31 and 534.78 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,145.31 = 534.78 : x
  2. Step 2: Convert to fraction form
    829.74/1,145.31 = 534.78/x
  3. Step 3: Cross multiply
    829.74x = 1,145.31 × 534.78
  4. Step 4: Simplify right side
    829.74x = 612,488.88
  5. Step 5: Solve for x
    x = 612,488.88/829.74
  6. Step 6: Final answer
    x = 738.17

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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.