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Finding the Fourth Proportional to 529.85, 793.75 and 323.83

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Solution

The fourth proportional to 529.85, 793.75 and 323.83 is: 485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.85 : 793.75 = 323.83 : x
  2. Step 2: Convert to fraction form
    529.85/793.75 = 323.83/x
  3. Step 3: Cross multiply
    529.85x = 793.75 × 323.83
  4. Step 4: Simplify right side
    529.85x = 257,040.06
  5. Step 5: Solve for x
    x = 257,040.06/529.85
  6. Step 6: Final answer
    x = 485.12

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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.