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Finding the Fourth Proportional to 614.21, 919.44 and 509.18

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Solution

The fourth proportional to 614.21, 919.44 and 509.18 is: 762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.21 : 919.44 = 509.18 : x
  2. Step 2: Convert to fraction form
    614.21/919.44 = 509.18/x
  3. Step 3: Cross multiply
    614.21x = 919.44 × 509.18
  4. Step 4: Simplify right side
    614.21x = 468,155.86
  5. Step 5: Solve for x
    x = 468,155.86/614.21
  6. Step 6: Final answer
    x = 762.21

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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.