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Finding the Fourth Proportional to 531.64, 733.65 and 298.78

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Solution

The fourth proportional to 531.64, 733.65 and 298.78 is: 412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.64 : 733.65 = 298.78 : x
  2. Step 2: Convert to fraction form
    531.64/733.65 = 298.78/x
  3. Step 3: Cross multiply
    531.64x = 733.65 × 298.78
  4. Step 4: Simplify right side
    531.64x = 219,199.95
  5. Step 5: Solve for x
    x = 219,199.95/531.64
  6. Step 6: Final answer
    x = 412.31

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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.