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Finding the Fourth Proportional to 486.80, 731.74 and 453

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Solution

The fourth proportional to 486.80, 731.74 and 453 is: 680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.80 : 731.74 = 453 : x
  2. Step 2: Convert to fraction form
    486.80/731.74 = 453/x
  3. Step 3: Cross multiply
    486.80x = 731.74 × 453
  4. Step 4: Simplify right side
    486.80x = 331,478.22
  5. Step 5: Solve for x
    x = 331,478.22/486.80
  6. Step 6: Final answer
    x = 680.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.