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Finding the Fourth Proportional to 829.34, 1,144.83 and 534.71

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Solution

The fourth proportional to 829.34, 1,144.83 and 534.71 is: 738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.34 : 1,144.83 = 534.71 : x
  2. Step 2: Convert to fraction form
    829.34/1,144.83 = 534.71/x
  3. Step 3: Cross multiply
    829.34x = 1,144.83 × 534.71
  4. Step 4: Simplify right side
    829.34x = 612,146.33
  5. Step 5: Solve for x
    x = 612,146.33/829.34
  6. Step 6: Final answer
    x = 738.12

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1.5x scale

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.