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Finding the Fourth Proportional to 486.90, 725.16 and 455.76

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Solution

The fourth proportional to 486.90, 725.16 and 455.76 is: 678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.90 : 725.16 = 455.76 : x
  2. Step 2: Convert to fraction form
    486.90/725.16 = 455.76/x
  3. Step 3: Cross multiply
    486.90x = 725.16 × 455.76
  4. Step 4: Simplify right side
    486.90x = 330,498.92
  5. Step 5: Solve for x
    x = 330,498.92/486.90
  6. Step 6: Final answer
    x = 678.78

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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.