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Finding the Fourth Proportional to 529.29, 793.73 and 309.99

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Solution

The fourth proportional to 529.29, 793.73 and 309.99 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 793.73 = 309.99 : x
  2. Step 2: Convert to fraction form
    529.29/793.73 = 309.99/x
  3. Step 3: Cross multiply
    529.29x = 793.73 × 309.99
  4. Step 4: Simplify right side
    529.29x = 246,046.81
  5. Step 5: Solve for x
    x = 246,046.81/529.29
  6. Step 6: Final answer
    x = 464.86

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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.