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Finding the Fourth Proportional to 912.81, 1,259.69 and 514.48

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Solution

The fourth proportional to 912.81, 1,259.69 and 514.48 is: 709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.81 : 1,259.69 = 514.48 : x
  2. Step 2: Convert to fraction form
    912.81/1,259.69 = 514.48/x
  3. Step 3: Cross multiply
    912.81x = 1,259.69 × 514.48
  4. Step 4: Simplify right side
    912.81x = 648,080.58
  5. Step 5: Solve for x
    x = 648,080.58/912.81
  6. Step 6: Final answer
    x = 709.99

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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.