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Finding the Fourth Proportional to 534.62, 737.74 and 298.58

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Solution

The fourth proportional to 534.62, 737.74 and 298.58 is: 412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 737.74 = 298.58 : x
  2. Step 2: Convert to fraction form
    534.62/737.74 = 298.58/x
  3. Step 3: Cross multiply
    534.62x = 737.74 × 298.58
  4. Step 4: Simplify right side
    534.62x = 220,274.41
  5. Step 5: Solve for x
    x = 220,274.41/534.62
  6. Step 6: Final answer
    x = 412.02

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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.