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Finding the Fourth Proportional to 538.37, 743.92 and 420.65

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Solution

The fourth proportional to 538.37, 743.92 and 420.65 is: 581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.37 : 743.92 = 420.65 : x
  2. Step 2: Convert to fraction form
    538.37/743.92 = 420.65/x
  3. Step 3: Cross multiply
    538.37x = 743.92 × 420.65
  4. Step 4: Simplify right side
    538.37x = 312,925.18
  5. Step 5: Solve for x
    x = 312,925.18/538.37
  6. Step 6: Final answer
    x = 581.25

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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.