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Finding the Fourth Proportional to 909.70, 1,365.08 and 757.49

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Solution

The fourth proportional to 909.70, 1,365.08 and 757.49 is: 1,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.70 : 1,365.08 = 757.49 : x
  2. Step 2: Convert to fraction form
    909.70/1,365.08 = 757.49/x
  3. Step 3: Cross multiply
    909.70x = 1,365.08 × 757.49
  4. Step 4: Simplify right side
    909.70x = 1,034,023.84
  5. Step 5: Solve for x
    x = 1,034,023.84/909.70
  6. Step 6: Final answer
    x = 1,136.67

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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.