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Finding the Fourth Proportional to 908.94, 1,364.36 and 519.68

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Solution

The fourth proportional to 908.94, 1,364.36 and 519.68 is: 780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.94 : 1,364.36 = 519.68 : x
  2. Step 2: Convert to fraction form
    908.94/1,364.36 = 519.68/x
  3. Step 3: Cross multiply
    908.94x = 1,364.36 × 519.68
  4. Step 4: Simplify right side
    908.94x = 709,034.34
  5. Step 5: Solve for x
    x = 709,034.34/908.94
  6. Step 6: Final answer
    x = 780.07

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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.