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Finding the Fourth Proportional to 816, 1,127.04 and 539.52

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Solution

The fourth proportional to 816, 1,127.04 and 539.52 is: 745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,127.04 = 539.52 : x
  2. Step 2: Convert to fraction form
    816/1,127.04 = 539.52/x
  3. Step 3: Cross multiply
    816x = 1,127.04 × 539.52
  4. Step 4: Simplify right side
    816x = 608,060.62
  5. Step 5: Solve for x
    x = 608,060.62/816
  6. Step 6: Final answer
    x = 745.17

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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.