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Finding the Fourth Proportional to 1,217.32, 1,679.26 and 719.60

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Solution

The fourth proportional to 1,217.32, 1,679.26 and 719.60 is: 992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.32 : 1,679.26 = 719.60 : x
  2. Step 2: Convert to fraction form
    1,217.32/1,679.26 = 719.60/x
  3. Step 3: Cross multiply
    1,217.32x = 1,679.26 × 719.60
  4. Step 4: Simplify right side
    1,217.32x = 1,208,395.50
  5. Step 5: Solve for x
    x = 1,208,395.50/1,217.32
  6. Step 6: Final answer
    x = 992.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.