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Finding the Fourth Proportional to 916.82, 1,378.20 and 736.19

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Solution

The fourth proportional to 916.82, 1,378.20 and 736.19 is: 1,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.82 : 1,378.20 = 736.19 : x
  2. Step 2: Convert to fraction form
    916.82/1,378.20 = 736.19/x
  3. Step 3: Cross multiply
    916.82x = 1,378.20 × 736.19
  4. Step 4: Simplify right side
    916.82x = 1,014,617.06
  5. Step 5: Solve for x
    x = 1,014,617.06/916.82
  6. Step 6: Final answer
    x = 1,106.67

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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.