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Finding the Fourth Proportional to 579.42, 867.58 and 505.60

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Solution

The fourth proportional to 579.42, 867.58 and 505.60 is: 757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 867.58 = 505.60 : x
  2. Step 2: Convert to fraction form
    579.42/867.58 = 505.60/x
  3. Step 3: Cross multiply
    579.42x = 867.58 × 505.60
  4. Step 4: Simplify right side
    579.42x = 438,645.02
  5. Step 5: Solve for x
    x = 438,645.02/579.42
  6. Step 6: Final answer
    x = 757.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.