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Finding the Fourth Proportional to 538.34, 807.19 and 385.25

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Solution

The fourth proportional to 538.34, 807.19 and 385.25 is: 577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.34 : 807.19 = 385.25 : x
  2. Step 2: Convert to fraction form
    538.34/807.19 = 385.25/x
  3. Step 3: Cross multiply
    538.34x = 807.19 × 385.25
  4. Step 4: Simplify right side
    538.34x = 310,963.99
  5. Step 5: Solve for x
    x = 310,963.99/538.34
  6. Step 6: Final answer
    x = 577.64

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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.