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Finding the Fourth Proportional to 709.29, 979.75 and 591.65

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Solution

The fourth proportional to 709.29, 979.75 and 591.65 is: 817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 979.75 = 591.65 : x
  2. Step 2: Convert to fraction form
    709.29/979.75 = 591.65/x
  3. Step 3: Cross multiply
    709.29x = 979.75 × 591.65
  4. Step 4: Simplify right side
    709.29x = 579,664.19
  5. Step 5: Solve for x
    x = 579,664.19/709.29
  6. Step 6: Final answer
    x = 817.25

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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.