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Finding the Fourth Proportional to 910.21, 1,255.78 and 511.81

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Solution

The fourth proportional to 910.21, 1,255.78 and 511.81 is: 706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.21 : 1,255.78 = 511.81 : x
  2. Step 2: Convert to fraction form
    910.21/1,255.78 = 511.81/x
  3. Step 3: Cross multiply
    910.21x = 1,255.78 × 511.81
  4. Step 4: Simplify right side
    910.21x = 642,720.76
  5. Step 5: Solve for x
    x = 642,720.76/910.21
  6. Step 6: Final answer
    x = 706.12

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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.