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Finding the Fourth Proportional to 397.82, 592.38 and 393.46

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Solution

The fourth proportional to 397.82, 592.38 and 393.46 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 592.38 = 393.46 : x
  2. Step 2: Convert to fraction form
    397.82/592.38 = 393.46/x
  3. Step 3: Cross multiply
    397.82x = 592.38 × 393.46
  4. Step 4: Simplify right side
    397.82x = 233,077.83
  5. Step 5: Solve for x
    x = 233,077.83/397.82
  6. Step 6: Final answer
    x = 585.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.