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Finding the Fourth Proportional to 715.56, 1,072.61 and 406.77

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Solution

The fourth proportional to 715.56, 1,072.61 and 406.77 is: 609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.56 : 1,072.61 = 406.77 : x
  2. Step 2: Convert to fraction form
    715.56/1,072.61 = 406.77/x
  3. Step 3: Cross multiply
    715.56x = 1,072.61 × 406.77
  4. Step 4: Simplify right side
    715.56x = 436,310.27
  5. Step 5: Solve for x
    x = 436,310.27/715.56
  6. Step 6: Final answer
    x = 609.75

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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.