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Finding the Fourth Proportional to 712.34, 983.03 and 428.71

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Solution

The fourth proportional to 712.34, 983.03 and 428.71 is: 591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 983.03 = 428.71 : x
  2. Step 2: Convert to fraction form
    712.34/983.03 = 428.71/x
  3. Step 3: Cross multiply
    712.34x = 983.03 × 428.71
  4. Step 4: Simplify right side
    712.34x = 421,432.65
  5. Step 5: Solve for x
    x = 421,432.65/712.34
  6. Step 6: Final answer
    x = 591.62

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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.