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Finding the Fourth Proportional to 506.76, 762.89 and 345.48

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Solution

The fourth proportional to 506.76, 762.89 and 345.48 is: 520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.76 : 762.89 = 345.48 : x
  2. Step 2: Convert to fraction form
    506.76/762.89 = 345.48/x
  3. Step 3: Cross multiply
    506.76x = 762.89 × 345.48
  4. Step 4: Simplify right side
    506.76x = 263,564.10
  5. Step 5: Solve for x
    x = 263,564.10/506.76
  6. Step 6: Final answer
    x = 520.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.