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Finding the Fourth Proportional to 506.62, 698.25 and 492.58

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Solution

The fourth proportional to 506.62, 698.25 and 492.58 is: 678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.62 : 698.25 = 492.58 : x
  2. Step 2: Convert to fraction form
    506.62/698.25 = 492.58/x
  3. Step 3: Cross multiply
    506.62x = 698.25 × 492.58
  4. Step 4: Simplify right side
    506.62x = 343,943.99
  5. Step 5: Solve for x
    x = 343,943.99/506.62
  6. Step 6: Final answer
    x = 678.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.