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Finding the Fourth Proportional to 919.69, 1,378.32 and 509.02

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Solution

The fourth proportional to 919.69, 1,378.32 and 509.02 is: 762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.69 : 1,378.32 = 509.02 : x
  2. Step 2: Convert to fraction form
    919.69/1,378.32 = 509.02/x
  3. Step 3: Cross multiply
    919.69x = 1,378.32 × 509.02
  4. Step 4: Simplify right side
    919.69x = 701,587.09
  5. Step 5: Solve for x
    x = 701,587.09/919.69
  6. Step 6: Final answer
    x = 762.85

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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.