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Finding the Fourth Proportional to 919.94, 1,378.62 and 509.27

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Solution

The fourth proportional to 919.94, 1,378.62 and 509.27 is: 763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.94 : 1,378.62 = 509.27 : x
  2. Step 2: Convert to fraction form
    919.94/1,378.62 = 509.27/x
  3. Step 3: Cross multiply
    919.94x = 1,378.62 × 509.27
  4. Step 4: Simplify right side
    919.94x = 702,089.81
  5. Step 5: Solve for x
    x = 702,089.81/919.94
  6. Step 6: Final answer
    x = 763.19

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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.