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Finding the Fourth Proportional to 716.30, 989.07 and 575.97

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Solution

The fourth proportional to 716.30, 989.07 and 575.97 is: 795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.30 : 989.07 = 575.97 : x
  2. Step 2: Convert to fraction form
    716.30/989.07 = 575.97/x
  3. Step 3: Cross multiply
    716.30x = 989.07 × 575.97
  4. Step 4: Simplify right side
    716.30x = 569,674.65
  5. Step 5: Solve for x
    x = 569,674.65/716.30
  6. Step 6: Final answer
    x = 795.31

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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.