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Finding the Fourth Proportional to 531.81, 733.84 and 310.75

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Solution

The fourth proportional to 531.81, 733.84 and 310.75 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.81 : 733.84 = 310.75 : x
  2. Step 2: Convert to fraction form
    531.81/733.84 = 310.75/x
  3. Step 3: Cross multiply
    531.81x = 733.84 × 310.75
  4. Step 4: Simplify right side
    531.81x = 228,040.78
  5. Step 5: Solve for x
    x = 228,040.78/531.81
  6. Step 6: Final answer
    x = 428.80

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1.5x scale

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.