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Finding the Fourth Proportional to 531.79, 733.87 and 298.91

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Solution

The fourth proportional to 531.79, 733.87 and 298.91 is: 412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.79 : 733.87 = 298.91 : x
  2. Step 2: Convert to fraction form
    531.79/733.87 = 298.91/x
  3. Step 3: Cross multiply
    531.79x = 733.87 × 298.91
  4. Step 4: Simplify right side
    531.79x = 219,361.08
  5. Step 5: Solve for x
    x = 219,361.08/531.79
  6. Step 6: Final answer
    x = 412.50

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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.