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Finding the Fourth Proportional to 478.54, 717.99 and 204.70

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Solution

The fourth proportional to 478.54, 717.99 and 204.70 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.54 : 717.99 = 204.70 : x
  2. Step 2: Convert to fraction form
    478.54/717.99 = 204.70/x
  3. Step 3: Cross multiply
    478.54x = 717.99 × 204.70
  4. Step 4: Simplify right side
    478.54x = 146,972.55
  5. Step 5: Solve for x
    x = 146,972.55/478.54
  6. Step 6: Final answer
    x = 307.13

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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.