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Finding the Fourth Proportional to 494.84, 686.00 and 468.50

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Solution

The fourth proportional to 494.84, 686.00 and 468.50 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.84 : 686.00 = 468.50 : x
  2. Step 2: Convert to fraction form
    494.84/686.00 = 468.50/x
  3. Step 3: Cross multiply
    494.84x = 686.00 × 468.50
  4. Step 4: Simplify right side
    494.84x = 321,388.66
  5. Step 5: Solve for x
    x = 321,388.66/494.84
  6. Step 6: Final answer
    x = 649.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.