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Finding the Fourth Proportional to 806.37, 1,113 and 511.80

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Solution

The fourth proportional to 806.37, 1,113 and 511.80 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.37 : 1,113 = 511.80 : x
  2. Step 2: Convert to fraction form
    806.37/1,113 = 511.80/x
  3. Step 3: Cross multiply
    806.37x = 1,113 × 511.80
  4. Step 4: Simplify right side
    806.37x = 569,633.40
  5. Step 5: Solve for x
    x = 569,633.40/806.37
  6. Step 6: Final answer
    x = 706.42

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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.