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Finding the Fourth Proportional to 852.93, 1,176.66 and 558.09

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Solution

The fourth proportional to 852.93, 1,176.66 and 558.09 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.93 : 1,176.66 = 558.09 : x
  2. Step 2: Convert to fraction form
    852.93/1,176.66 = 558.09/x
  3. Step 3: Cross multiply
    852.93x = 1,176.66 × 558.09
  4. Step 4: Simplify right side
    852.93x = 656,682.18
  5. Step 5: Solve for x
    x = 656,682.18/852.93
  6. Step 6: Final answer
    x = 769.91

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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.