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Finding the Fourth Proportional to 478.74, 717.02 and 285.96

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Solution

The fourth proportional to 478.74, 717.02 and 285.96 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 717.02 = 285.96 : x
  2. Step 2: Convert to fraction form
    478.74/717.02 = 285.96/x
  3. Step 3: Cross multiply
    478.74x = 717.02 × 285.96
  4. Step 4: Simplify right side
    478.74x = 205,039.04
  5. Step 5: Solve for x
    x = 205,039.04/478.74
  6. Step 6: Final answer
    x = 428.29

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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.