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Finding the Fourth Proportional to 806.98, 1,114.17 and 544.90

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Solution

The fourth proportional to 806.98, 1,114.17 and 544.90 is: 752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.98 : 1,114.17 = 544.90 : x
  2. Step 2: Convert to fraction form
    806.98/1,114.17 = 544.90/x
  3. Step 3: Cross multiply
    806.98x = 1,114.17 × 544.90
  4. Step 4: Simplify right side
    806.98x = 607,111.23
  5. Step 5: Solve for x
    x = 607,111.23/806.98
  6. Step 6: Final answer
    x = 752.33

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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.