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Finding the Fourth Proportional to 909.69, 1,254.81 and 516.63

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Solution

The fourth proportional to 909.69, 1,254.81 and 516.63 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.69 : 1,254.81 = 516.63 : x
  2. Step 2: Convert to fraction form
    909.69/1,254.81 = 516.63/x
  3. Step 3: Cross multiply
    909.69x = 1,254.81 × 516.63
  4. Step 4: Simplify right side
    909.69x = 648,272.49
  5. Step 5: Solve for x
    x = 648,272.49/909.69
  6. Step 6: Final answer
    x = 712.63

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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.