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Finding the Fourth Proportional to 853.91, 1,178.05 and 521.76

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Solution

The fourth proportional to 853.91, 1,178.05 and 521.76 is: 719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.91 : 1,178.05 = 521.76 : x
  2. Step 2: Convert to fraction form
    853.91/1,178.05 = 521.76/x
  3. Step 3: Cross multiply
    853.91x = 1,178.05 × 521.76
  4. Step 4: Simplify right side
    853.91x = 614,652.79
  5. Step 5: Solve for x
    x = 614,652.79/853.91
  6. Step 6: Final answer
    x = 719.81

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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.