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Finding the Fourth Proportional to 909.43, 1,255.07 and 511.13

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Solution

The fourth proportional to 909.43, 1,255.07 and 511.13 is: 705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.43 : 1,255.07 = 511.13 : x
  2. Step 2: Convert to fraction form
    909.43/1,255.07 = 511.13/x
  3. Step 3: Cross multiply
    909.43x = 1,255.07 × 511.13
  4. Step 4: Simplify right side
    909.43x = 641,508.34
  5. Step 5: Solve for x
    x = 641,508.34/909.43
  6. Step 6: Final answer
    x = 705.40

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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.