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Finding the Fourth Proportional to 505.20, 752.83 and 488.68

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Solution

The fourth proportional to 505.20, 752.83 and 488.68 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.20 : 752.83 = 488.68 : x
  2. Step 2: Convert to fraction form
    505.20/752.83 = 488.68/x
  3. Step 3: Cross multiply
    505.20x = 752.83 × 488.68
  4. Step 4: Simplify right side
    505.20x = 367,892.96
  5. Step 5: Solve for x
    x = 367,892.96/505.20
  6. Step 6: Final answer
    x = 728.21

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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.