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Finding the Fourth Proportional to 397.83, 592.92 and 397.23

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Solution

The fourth proportional to 397.83, 592.92 and 397.23 is: 592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 592.92 = 397.23 : x
  2. Step 2: Convert to fraction form
    397.83/592.92 = 397.23/x
  3. Step 3: Cross multiply
    397.83x = 592.92 × 397.23
  4. Step 4: Simplify right side
    397.83x = 235,525.61
  5. Step 5: Solve for x
    x = 235,525.61/397.83
  6. Step 6: Final answer
    x = 592.03

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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.