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Finding the Fourth Proportional to 531.57, 732.24 and 505.65

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Solution

The fourth proportional to 531.57, 732.24 and 505.65 is: 696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.57 : 732.24 = 505.65 : x
  2. Step 2: Convert to fraction form
    531.57/732.24 = 505.65/x
  3. Step 3: Cross multiply
    531.57x = 732.24 × 505.65
  4. Step 4: Simplify right side
    531.57x = 370,257.16
  5. Step 5: Solve for x
    x = 370,257.16/531.57
  6. Step 6: Final answer
    x = 696.54

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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.