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Finding the Fourth Proportional to 853.28, 1,176.45 and 558.08

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Solution

The fourth proportional to 853.28, 1,176.45 and 558.08 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.28 : 1,176.45 = 558.08 : x
  2. Step 2: Convert to fraction form
    853.28/1,176.45 = 558.08/x
  3. Step 3: Cross multiply
    853.28x = 1,176.45 × 558.08
  4. Step 4: Simplify right side
    853.28x = 656,553.22
  5. Step 5: Solve for x
    x = 656,553.22/853.28
  6. Step 6: Final answer
    x = 769.45

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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.