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Finding the Fourth Proportional to 486.14, 724.90 and 428.58

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Solution

The fourth proportional to 486.14, 724.90 and 428.58 is: 639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 724.90 = 428.58 : x
  2. Step 2: Convert to fraction form
    486.14/724.90 = 428.58/x
  3. Step 3: Cross multiply
    486.14x = 724.90 × 428.58
  4. Step 4: Simplify right side
    486.14x = 310,675.50
  5. Step 5: Solve for x
    x = 310,675.50/486.14
  6. Step 6: Final answer
    x = 639.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.