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Finding the Fourth Proportional to 716.24, 1,071.83 and 609.32

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Solution

The fourth proportional to 716.24, 1,071.83 and 609.32 is: 911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 1,071.83 = 609.32 : x
  2. Step 2: Convert to fraction form
    716.24/1,071.83 = 609.32/x
  3. Step 3: Cross multiply
    716.24x = 1,071.83 × 609.32
  4. Step 4: Simplify right side
    716.24x = 653,091.66
  5. Step 5: Solve for x
    x = 653,091.66/716.24
  6. Step 6: Final answer
    x = 911.83

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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.