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Finding the Fourth Proportional to 505.92, 761.68 and 396.81

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Solution

The fourth proportional to 505.92, 761.68 and 396.81 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 761.68 = 396.81 : x
  2. Step 2: Convert to fraction form
    505.92/761.68 = 396.81/x
  3. Step 3: Cross multiply
    505.92x = 761.68 × 396.81
  4. Step 4: Simplify right side
    505.92x = 302,242.24
  5. Step 5: Solve for x
    x = 302,242.24/505.92
  6. Step 6: Final answer
    x = 597.41

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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.