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Finding the Fourth Proportional to 538.19, 805.29 and 384.47

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Solution

The fourth proportional to 538.19, 805.29 and 384.47 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.19 : 805.29 = 384.47 : x
  2. Step 2: Convert to fraction form
    538.19/805.29 = 384.47/x
  3. Step 3: Cross multiply
    538.19x = 805.29 × 384.47
  4. Step 4: Simplify right side
    538.19x = 309,609.85
  5. Step 5: Solve for x
    x = 309,609.85/538.19
  6. Step 6: Final answer
    x = 575.28

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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.