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Finding the Fourth Proportional to 919.89, 1,379.34 and 509.22

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Solution

The fourth proportional to 919.89, 1,379.34 and 509.22 is: 763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.89 : 1,379.34 = 509.22 : x
  2. Step 2: Convert to fraction form
    919.89/1,379.34 = 509.22/x
  3. Step 3: Cross multiply
    919.89x = 1,379.34 × 509.22
  4. Step 4: Simplify right side
    919.89x = 702,387.51
  5. Step 5: Solve for x
    x = 702,387.51/919.89
  6. Step 6: Final answer
    x = 763.56

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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.