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Finding the Fourth Proportional to 909.72, 1,365.36 and 499.24

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Solution

The fourth proportional to 909.72, 1,365.36 and 499.24 is: 749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.72 : 1,365.36 = 499.24 : x
  2. Step 2: Convert to fraction form
    909.72/1,365.36 = 499.24/x
  3. Step 3: Cross multiply
    909.72x = 1,365.36 × 499.24
  4. Step 4: Simplify right side
    909.72x = 681,642.33
  5. Step 5: Solve for x
    x = 681,642.33/909.72
  6. Step 6: Final answer
    x = 749.29

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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.