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Finding the Fourth Proportional to 705.34, 972.82 and 539.14

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Solution

The fourth proportional to 705.34, 972.82 and 539.14 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 972.82 = 539.14 : x
  2. Step 2: Convert to fraction form
    705.34/972.82 = 539.14/x
  3. Step 3: Cross multiply
    705.34x = 972.82 × 539.14
  4. Step 4: Simplify right side
    705.34x = 524,486.17
  5. Step 5: Solve for x
    x = 524,486.17/705.34
  6. Step 6: Final answer
    x = 743.59

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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.