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Finding the Fourth Proportional to 853.50, 1,278.68 and 391.66

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Solution

The fourth proportional to 853.50, 1,278.68 and 391.66 is: 586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.50 : 1,278.68 = 391.66 : x
  2. Step 2: Convert to fraction form
    853.50/1,278.68 = 391.66/x
  3. Step 3: Cross multiply
    853.50x = 1,278.68 × 391.66
  4. Step 4: Simplify right side
    853.50x = 500,807.81
  5. Step 5: Solve for x
    x = 500,807.81/853.50
  6. Step 6: Final answer
    x = 586.77

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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.