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Finding the Fourth Proportional to 534.53, 737.66 and 298.47

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Solution

The fourth proportional to 534.53, 737.66 and 298.47 is: 411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.53 : 737.66 = 298.47 : x
  2. Step 2: Convert to fraction form
    534.53/737.66 = 298.47/x
  3. Step 3: Cross multiply
    534.53x = 737.66 × 298.47
  4. Step 4: Simplify right side
    534.53x = 220,168.74
  5. Step 5: Solve for x
    x = 220,168.74/534.53
  6. Step 6: Final answer
    x = 411.89

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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.