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Finding the Fourth Proportional to 529.89, 794.88 and 205.53

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Solution

The fourth proportional to 529.89, 794.88 and 205.53 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.89 : 794.88 = 205.53 : x
  2. Step 2: Convert to fraction form
    529.89/794.88 = 205.53/x
  3. Step 3: Cross multiply
    529.89x = 794.88 × 205.53
  4. Step 4: Simplify right side
    529.89x = 163,371.69
  5. Step 5: Solve for x
    x = 163,371.69/529.89
  6. Step 6: Final answer
    x = 308.31

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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.