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Finding the Fourth Proportional to 494.91, 678.55 and 486.14

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Solution

The fourth proportional to 494.91, 678.55 and 486.14 is: 666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.91 : 678.55 = 486.14 : x
  2. Step 2: Convert to fraction form
    494.91/678.55 = 486.14/x
  3. Step 3: Cross multiply
    494.91x = 678.55 × 486.14
  4. Step 4: Simplify right side
    494.91x = 329,870.30
  5. Step 5: Solve for x
    x = 329,870.30/494.91
  6. Step 6: Final answer
    x = 666.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.