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Finding the Fourth Proportional to 805.16, 1,111.67 and 506.54

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Solution

The fourth proportional to 805.16, 1,111.67 and 506.54 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.16 : 1,111.67 = 506.54 : x
  2. Step 2: Convert to fraction form
    805.16/1,111.67 = 506.54/x
  3. Step 3: Cross multiply
    805.16x = 1,111.67 × 506.54
  4. Step 4: Simplify right side
    805.16x = 563,097.23
  5. Step 5: Solve for x
    x = 563,097.23/805.16
  6. Step 6: Final answer
    x = 699.37

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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.