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Finding the Fourth Proportional to 712.73, 983.03 and 535.74

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Solution

The fourth proportional to 712.73, 983.03 and 535.74 is: 738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 983.03 = 535.74 : x
  2. Step 2: Convert to fraction form
    712.73/983.03 = 535.74/x
  3. Step 3: Cross multiply
    712.73x = 983.03 × 535.74
  4. Step 4: Simplify right side
    712.73x = 526,645.81
  5. Step 5: Solve for x
    x = 526,645.81/712.73
  6. Step 6: Final answer
    x = 738.92

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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.