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Finding the Fourth Proportional to 505.60, 753.89 and 504.62

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Solution

The fourth proportional to 505.60, 753.89 and 504.62 is: 752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 753.89 = 504.62 : x
  2. Step 2: Convert to fraction form
    505.60/753.89 = 504.62/x
  3. Step 3: Cross multiply
    505.60x = 753.89 × 504.62
  4. Step 4: Simplify right side
    505.60x = 380,421.68
  5. Step 5: Solve for x
    x = 380,421.68/505.60
  6. Step 6: Final answer
    x = 752.42

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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.