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Finding the Fourth Proportional to 1,289.19, 1,934.19 and 509.16

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Solution

The fourth proportional to 1,289.19, 1,934.19 and 509.16 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.19 : 1,934.19 = 509.16 : x
  2. Step 2: Convert to fraction form
    1,289.19/1,934.19 = 509.16/x
  3. Step 3: Cross multiply
    1,289.19x = 1,934.19 × 509.16
  4. Step 4: Simplify right side
    1,289.19x = 984,812.18
  5. Step 5: Solve for x
    x = 984,812.18/1,289.19
  6. Step 6: Final answer
    x = 763.90

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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.