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Finding the Fourth Proportional to 589.81, 885.02 and 265.11

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Solution

The fourth proportional to 589.81, 885.02 and 265.11 is: 397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.81 : 885.02 = 265.11 : x
  2. Step 2: Convert to fraction form
    589.81/885.02 = 265.11/x
  3. Step 3: Cross multiply
    589.81x = 885.02 × 265.11
  4. Step 4: Simplify right side
    589.81x = 234,626.33
  5. Step 5: Solve for x
    x = 234,626.33/589.81
  6. Step 6: Final answer
    x = 397.80

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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.