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Finding the Fourth Proportional to 912.66, 1,259.17 and 519.60

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Solution

The fourth proportional to 912.66, 1,259.17 and 519.60 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.66 : 1,259.17 = 519.60 : x
  2. Step 2: Convert to fraction form
    912.66/1,259.17 = 519.60/x
  3. Step 3: Cross multiply
    912.66x = 1,259.17 × 519.60
  4. Step 4: Simplify right side
    912.66x = 654,263.43
  5. Step 5: Solve for x
    x = 654,263.43/912.66
  6. Step 6: Final answer
    x = 716.88

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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.