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Finding the Fourth Proportional to 657.19, 984.66 and 558.82

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Solution

The fourth proportional to 657.19, 984.66 and 558.82 is: 837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 984.66 = 558.82 : x
  2. Step 2: Convert to fraction form
    657.19/984.66 = 558.82/x
  3. Step 3: Cross multiply
    657.19x = 984.66 × 558.82
  4. Step 4: Simplify right side
    657.19x = 550,247.70
  5. Step 5: Solve for x
    x = 550,247.70/657.19
  6. Step 6: Final answer
    x = 837.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.