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Finding the Fourth Proportional to 806.75, 1,113.39 and 511.91

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Solution

The fourth proportional to 806.75, 1,113.39 and 511.91 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.75 : 1,113.39 = 511.91 : x
  2. Step 2: Convert to fraction form
    806.75/1,113.39 = 511.91/x
  3. Step 3: Cross multiply
    806.75x = 1,113.39 × 511.91
  4. Step 4: Simplify right side
    806.75x = 569,955.47
  5. Step 5: Solve for x
    x = 569,955.47/806.75
  6. Step 6: Final answer
    x = 706.48

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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.