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Finding the Fourth Proportional to 415.02, 623.25 and 411.87

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Solution

The fourth proportional to 415.02, 623.25 and 411.87 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 623.25 = 411.87 : x
  2. Step 2: Convert to fraction form
    415.02/623.25 = 411.87/x
  3. Step 3: Cross multiply
    415.02x = 623.25 × 411.87
  4. Step 4: Simplify right side
    415.02x = 256,697.98
  5. Step 5: Solve for x
    x = 256,697.98/415.02
  6. Step 6: Final answer
    x = 618.52

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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.