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Finding the Fourth Proportional to 912.49, 1,259.20 and 519.64

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Solution

The fourth proportional to 912.49, 1,259.20 and 519.64 is: 717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.49 : 1,259.20 = 519.64 : x
  2. Step 2: Convert to fraction form
    912.49/1,259.20 = 519.64/x
  3. Step 3: Cross multiply
    912.49x = 1,259.20 × 519.64
  4. Step 4: Simplify right side
    912.49x = 654,330.69
  5. Step 5: Solve for x
    x = 654,330.69/912.49
  6. Step 6: Final answer
    x = 717.08

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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.