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Finding the Fourth Proportional to 589.76, 813.72 and 393.14

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Solution

The fourth proportional to 589.76, 813.72 and 393.14 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.76 : 813.72 = 393.14 : x
  2. Step 2: Convert to fraction form
    589.76/813.72 = 393.14/x
  3. Step 3: Cross multiply
    589.76x = 813.72 × 393.14
  4. Step 4: Simplify right side
    589.76x = 319,905.88
  5. Step 5: Solve for x
    x = 319,905.88/589.76
  6. Step 6: Final answer
    x = 542.43

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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.