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Finding the Fourth Proportional to 534.72, 739.08 and 418.08

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Solution

The fourth proportional to 534.72, 739.08 and 418.08 is: 577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.72 : 739.08 = 418.08 : x
  2. Step 2: Convert to fraction form
    534.72/739.08 = 418.08/x
  3. Step 3: Cross multiply
    534.72x = 739.08 × 418.08
  4. Step 4: Simplify right side
    534.72x = 308,994.57
  5. Step 5: Solve for x
    x = 308,994.57/534.72
  6. Step 6: Final answer
    x = 577.86

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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.