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Finding the Fourth Proportional to 531.74, 733.74 and 298.82

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Solution

The fourth proportional to 531.74, 733.74 and 298.82 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 733.74 = 298.82 : x
  2. Step 2: Convert to fraction form
    531.74/733.74 = 298.82/x
  3. Step 3: Cross multiply
    531.74x = 733.74 × 298.82
  4. Step 4: Simplify right side
    531.74x = 219,256.19
  5. Step 5: Solve for x
    x = 219,256.19/531.74
  6. Step 6: Final answer
    x = 412.34

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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.