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Finding the Fourth Proportional to 762.35, 1,143.45 and 415.83

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Solution

The fourth proportional to 762.35, 1,143.45 and 415.83 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.35 : 1,143.45 = 415.83 : x
  2. Step 2: Convert to fraction form
    762.35/1,143.45 = 415.83/x
  3. Step 3: Cross multiply
    762.35x = 1,143.45 × 415.83
  4. Step 4: Simplify right side
    762.35x = 475,485.10
  5. Step 5: Solve for x
    x = 475,485.10/762.35
  6. Step 6: Final answer
    x = 623.71

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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.