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Finding the Fourth Proportional to 790.34, 1,186.31 and 559.49

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Solution

The fourth proportional to 790.34, 1,186.31 and 559.49 is: 839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.34 : 1,186.31 = 559.49 : x
  2. Step 2: Convert to fraction form
    790.34/1,186.31 = 559.49/x
  3. Step 3: Cross multiply
    790.34x = 1,186.31 × 559.49
  4. Step 4: Simplify right side
    790.34x = 663,724.05
  5. Step 5: Solve for x
    x = 663,724.05/790.34
  6. Step 6: Final answer
    x = 839.80

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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.