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Finding the Fourth Proportional to 538.18, 743.01 and 427.30

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Solution

The fourth proportional to 538.18, 743.01 and 427.30 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 743.01 = 427.30 : x
  2. Step 2: Convert to fraction form
    538.18/743.01 = 427.30/x
  3. Step 3: Cross multiply
    538.18x = 743.01 × 427.30
  4. Step 4: Simplify right side
    538.18x = 317,488.17
  5. Step 5: Solve for x
    x = 317,488.17/538.18
  6. Step 6: Final answer
    x = 589.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.