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Finding the Fourth Proportional to 909.19, 1,254.68 and 516.24

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Solution

The fourth proportional to 909.19, 1,254.68 and 516.24 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.19 : 1,254.68 = 516.24 : x
  2. Step 2: Convert to fraction form
    909.19/1,254.68 = 516.24/x
  3. Step 3: Cross multiply
    909.19x = 1,254.68 × 516.24
  4. Step 4: Simplify right side
    909.19x = 647,716.00
  5. Step 5: Solve for x
    x = 647,716.00/909.19
  6. Step 6: Final answer
    x = 712.41

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Double scale
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1.5x scale

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.