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Finding the Fourth Proportional to 806.24, 1,111.98 and 511.22

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Solution

The fourth proportional to 806.24, 1,111.98 and 511.22 is: 705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.24 : 1,111.98 = 511.22 : x
  2. Step 2: Convert to fraction form
    806.24/1,111.98 = 511.22/x
  3. Step 3: Cross multiply
    806.24x = 1,111.98 × 511.22
  4. Step 4: Simplify right side
    806.24x = 568,466.42
  5. Step 5: Solve for x
    x = 568,466.42/806.24
  6. Step 6: Final answer
    x = 705.08

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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.