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Finding the Fourth Proportional to 657.32, 980.89 and 584.60

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Solution

The fourth proportional to 657.32, 980.89 and 584.60 is: 872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 980.89 = 584.60 : x
  2. Step 2: Convert to fraction form
    657.32/980.89 = 584.60/x
  3. Step 3: Cross multiply
    657.32x = 980.89 × 584.60
  4. Step 4: Simplify right side
    657.32x = 573,428.29
  5. Step 5: Solve for x
    x = 573,428.29/657.32
  6. Step 6: Final answer
    x = 872.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.