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Finding the Fourth Proportional to 538.54, 807.90 and 395.26

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Solution

The fourth proportional to 538.54, 807.90 and 395.26 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 807.90 = 395.26 : x
  2. Step 2: Convert to fraction form
    538.54/807.90 = 395.26/x
  3. Step 3: Cross multiply
    538.54x = 807.90 × 395.26
  4. Step 4: Simplify right side
    538.54x = 319,330.55
  5. Step 5: Solve for x
    x = 319,330.55/538.54
  6. Step 6: Final answer
    x = 592.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.