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Finding the Fourth Proportional to 589.04, 812.89 and 397.66

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Solution

The fourth proportional to 589.04, 812.89 and 397.66 is: 548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.04 : 812.89 = 397.66 : x
  2. Step 2: Convert to fraction form
    589.04/812.89 = 397.66/x
  3. Step 3: Cross multiply
    589.04x = 812.89 × 397.66
  4. Step 4: Simplify right side
    589.04x = 323,253.84
  5. Step 5: Solve for x
    x = 323,253.84/589.04
  6. Step 6: Final answer
    x = 548.78

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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.