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Finding the Fourth Proportional to 417.24, 624.55 and 286.48

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Solution

The fourth proportional to 417.24, 624.55 and 286.48 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 624.55 = 286.48 : x
  2. Step 2: Convert to fraction form
    417.24/624.55 = 286.48/x
  3. Step 3: Cross multiply
    417.24x = 624.55 × 286.48
  4. Step 4: Simplify right side
    417.24x = 178,916.53
  5. Step 5: Solve for x
    x = 178,916.53/417.24
  6. Step 6: Final answer
    x = 428.81

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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.