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Finding the Fourth Proportional to 534.54, 737.70 and 298.47

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Solution

The fourth proportional to 534.54, 737.70 and 298.47 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.54 : 737.70 = 298.47 : x
  2. Step 2: Convert to fraction form
    534.54/737.70 = 298.47/x
  3. Step 3: Cross multiply
    534.54x = 737.70 × 298.47
  4. Step 4: Simplify right side
    534.54x = 220,181.32
  5. Step 5: Solve for x
    x = 220,181.32/534.54
  6. Step 6: Final answer
    x = 411.91

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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.