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Finding the Fourth Proportional to 705.82, 972.79 and 595.58

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Solution

The fourth proportional to 705.82, 972.79 and 595.58 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.82 : 972.79 = 595.58 : x
  2. Step 2: Convert to fraction form
    705.82/972.79 = 595.58/x
  3. Step 3: Cross multiply
    705.82x = 972.79 × 595.58
  4. Step 4: Simplify right side
    705.82x = 579,374.27
  5. Step 5: Solve for x
    x = 579,374.27/705.82
  6. Step 6: Final answer
    x = 820.85

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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.