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Finding the Fourth Proportional to 909.16, 1,254.90 and 516.40

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Solution

The fourth proportional to 909.16, 1,254.90 and 516.40 is: 712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.16 : 1,254.90 = 516.40 : x
  2. Step 2: Convert to fraction form
    909.16/1,254.90 = 516.40/x
  3. Step 3: Cross multiply
    909.16x = 1,254.90 × 516.40
  4. Step 4: Simplify right side
    909.16x = 648,030.36
  5. Step 5: Solve for x
    x = 648,030.36/909.16
  6. Step 6: Final answer
    x = 712.78

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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.