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Finding the Fourth Proportional to 417.03, 624.80 and 286.76

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Solution

The fourth proportional to 417.03, 624.80 and 286.76 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.03 : 624.80 = 286.76 : x
  2. Step 2: Convert to fraction form
    417.03/624.80 = 286.76/x
  3. Step 3: Cross multiply
    417.03x = 624.80 × 286.76
  4. Step 4: Simplify right side
    417.03x = 179,163.09
  5. Step 5: Solve for x
    x = 179,163.09/417.03
  6. Step 6: Final answer
    x = 429.62

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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.