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Finding the Fourth Proportional to 912.35, 1,259.12 and 519.50

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Solution

The fourth proportional to 912.35, 1,259.12 and 519.50 is: 716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.35 : 1,259.12 = 519.50 : x
  2. Step 2: Convert to fraction form
    912.35/1,259.12 = 519.50/x
  3. Step 3: Cross multiply
    912.35x = 1,259.12 × 519.50
  4. Step 4: Simplify right side
    912.35x = 654,112.84
  5. Step 5: Solve for x
    x = 654,112.84/912.35
  6. Step 6: Final answer
    x = 716.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.