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Finding the Fourth Proportional to 531.56, 792.31 and 505.56

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Solution

The fourth proportional to 531.56, 792.31 and 505.56 is: 753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 792.31 = 505.56 : x
  2. Step 2: Convert to fraction form
    531.56/792.31 = 505.56/x
  3. Step 3: Cross multiply
    531.56x = 792.31 × 505.56
  4. Step 4: Simplify right side
    531.56x = 400,558.98
  5. Step 5: Solve for x
    x = 400,558.98/531.56
  6. Step 6: Final answer
    x = 753.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.