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Finding the Fourth Proportional to 474.54, 715.32 and 393.90

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Solution

The fourth proportional to 474.54, 715.32 and 393.90 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.54 : 715.32 = 393.90 : x
  2. Step 2: Convert to fraction form
    474.54/715.32 = 393.90/x
  3. Step 3: Cross multiply
    474.54x = 715.32 × 393.90
  4. Step 4: Simplify right side
    474.54x = 281,761.87
  5. Step 5: Solve for x
    x = 281,761.87/474.54
  6. Step 6: Final answer
    x = 593.76

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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.