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Finding the Fourth Proportional to 1,289.42, 1,934.13 and 509.39

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Solution

The fourth proportional to 1,289.42, 1,934.13 and 509.39 is: 764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.42 : 1,934.13 = 509.39 : x
  2. Step 2: Convert to fraction form
    1,289.42/1,934.13 = 509.39/x
  3. Step 3: Cross multiply
    1,289.42x = 1,934.13 × 509.39
  4. Step 4: Simplify right side
    1,289.42x = 985,223.11
  5. Step 5: Solve for x
    x = 985,223.11/1,289.42
  6. Step 6: Final answer
    x = 764.08

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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.