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Finding the Fourth Proportional to 417.02, 624.99 and 288.50

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Solution

The fourth proportional to 417.02, 624.99 and 288.50 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.02 : 624.99 = 288.50 : x
  2. Step 2: Convert to fraction form
    417.02/624.99 = 288.50/x
  3. Step 3: Cross multiply
    417.02x = 624.99 × 288.50
  4. Step 4: Simplify right side
    417.02x = 180,309.62
  5. Step 5: Solve for x
    x = 180,309.62/417.02
  6. Step 6: Final answer
    x = 432.38

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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.